{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm \n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([<matplotlib.axes._subplots.AxesSubplot object at 0x7fe5a55d2048>,\n",
       "       <matplotlib.axes._subplots.AxesSubplot object at 0x7fe5a54df128>,\n",
       "       <matplotlib.axes._subplots.AxesSubplot object at 0x7fe5a54ba8d0>,\n",
       "       <matplotlib.axes._subplots.AxesSubplot object at 0x7fe5a5434470>], dtype=object)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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KSXXzJ/SS1Bj8Zoa6czD9FJV1jbyzPZW88jpumzi0T+c83db1hHRA6RV9k4F1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\nOgXA6AEoEgpSU0MIIfpFuFdz0aP4vAo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Prno7OihcN2ckO46Vcbyk1lo/gs0UVjVwIKeC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3h4/v3r4R+vvx0YHbJPPhFk5MSSGgCw9c/BH799Ow8lmeQQtk3gx+cCj93O/+uvPTp+b7+qGMy/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1CkP/zhD3j55Zfx8MMPw+HITviBmRqUM/2rnzBTg4iIiIiI8t/s2bPxk5/8BOeccw6cTidO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JUbdxcyV1mfKTTMmUMYanPvwhIul0aJg7FSLJJPEVy0O135IPfCBvXRv6YD31ZManrERS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\nEk1qKIqiKIqiKIqiKIrSkvx/ECJYUhRSJ2YAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a55aa8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "IndexData = pd.read_csv('01pct.csv')\n",
    "IndexData = IndexData.set_index(IndexData['tradeDate'])\n",
    "IndexData['colseIndexDiff_1'] = IndexData['closeIndex'].diff(1)  # 1阶差分处理\n",
    "IndexData['closeIndexDiff_2'] = IndexData['colseIndexDiff_1'].diff(1)  # 2阶差分处理\n",
    "IndexData.plot(subplots=True,figsize=(18,12))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe5a53a4898>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Hk89SDN2f3OPKWTYhbFVFB6/MgqR8BRERkWQaGw9w8NRFdgX7WO92OLOxct2p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\n0N/UasTbBj0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a52b3cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a = pd.Series([9,8,7,5,4,2])\n",
    "b = a - a.mean() # 去均值\n",
    "plt.figure(figsize=(10,4))\n",
    "a.plot(label='a')\n",
    "b.plot(label='mean removed a')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AC</th>\n",
       "      <th>Q</th>\n",
       "      <th>P-value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lag</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.0</th>\n",
       "      <td>0.977190</td>\n",
       "      <td>366.688991</td>\n",
       "      <td>9.842648e-82</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.0</th>\n",
       "      <td>0.951513</td>\n",
       "      <td>715.277906</td>\n",
       "      <td>4.779432e-156</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.0</th>\n",
       "      <td>0.927073</td>\n",
       "      <td>1047.065270</td>\n",
       "      <td>1.109192e-226</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.0</th>\n",
       "      <td>0.902993</td>\n",
       "      <td>1362.675600</td>\n",
       "      <td>8.565497e-294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.0</th>\n",
       "      <td>0.878258</td>\n",
       "      <td>1662.026278</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.0</th>\n",
       "      <td>0.857131</td>\n",
       "      <td>1947.908436</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.0</th>\n",
       "      <td>0.836825</td>\n",
       "      <td>2221.134260</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.0</th>\n",
       "      <td>0.812991</td>\n",
       "      <td>2479.709003</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.0</th>\n",
       "      <td>0.789723</td>\n",
       "      <td>2724.350491</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.0</th>\n",
       "      <td>0.766245</td>\n",
       "      <td>2955.283132</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AC            Q        P-value\n",
       "lag                                       \n",
       "1.0   0.977190   366.688991   9.842648e-82\n",
       "2.0   0.951513   715.277906  4.779432e-156\n",
       "3.0   0.927073  1047.065270  1.109192e-226\n",
       "4.0   0.902993  1362.675600  8.565497e-294\n",
       "5.0   0.878258  1662.026278   0.000000e+00\n",
       "6.0   0.857131  1947.908436   0.000000e+00\n",
       "7.0   0.836825  2221.134260   0.000000e+00\n",
       "8.0   0.812991  2479.709003   0.000000e+00\n",
       "9.0   0.789723  2724.350491   0.000000e+00\n",
       "10.0  0.766245  2955.283132   0.000000e+00"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = IndexData['closeIndex'] # 上证指数\n",
    "m = 10 # 我们检验10个自相关系数\n",
    "\n",
    "acf,q,p = sm.tsa.acf(data,nlags=m,qstat=True)  ## 计算自相关系数 及p-value\n",
    "out = np.c_[range(1,11), acf[1:], q, p]\n",
    "output=pd.DataFrame(out, columns=['lag', \"AC\", \"Q\", \"P-value\"])\n",
    "output = output.set_index('lag')\n",
    "output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AC</th>\n",
       "      <th>Q</th>\n",
       "      <th>P-value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lag</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.0</th>\n",
       "      <td>0.065301</td>\n",
       "      <td>1.637490</td>\n",
       "      <td>0.200670</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.0</th>\n",
       "      <td>-0.014762</td>\n",
       "      <td>1.721391</td>\n",
       "      <td>0.422868</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.0</th>\n",
       "      <td>-0.022240</td>\n",
       "      <td>1.912341</td>\n",
       "      <td>0.590798</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.0</th>\n",
       "      <td>0.008116</td>\n",
       "      <td>1.937837</td>\n",
       "      <td>0.747191</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.0</th>\n",
       "      <td>-0.049070</td>\n",
       "      <td>2.872308</td>\n",
       "      <td>0.719664</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.0</th>\n",
       "      <td>-0.064429</td>\n",
       "      <td>4.487638</td>\n",
       "      <td>0.610989</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.0</th>\n",
       "      <td>0.080509</td>\n",
       "      <td>7.016621</td>\n",
       "      <td>0.427151</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.0</th>\n",
       "      <td>0.010938</td>\n",
       "      <td>7.063429</td>\n",
       "      <td>0.529805</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.0</th>\n",
       "      <td>0.028106</td>\n",
       "      <td>7.373304</td>\n",
       "      <td>0.598314</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.0</th>\n",
       "      <td>0.080362</td>\n",
       "      <td>9.913438</td>\n",
       "      <td>0.448120</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AC         Q   P-value\n",
       "lag                               \n",
       "1.0   0.065301  1.637490  0.200670\n",
       "2.0  -0.014762  1.721391  0.422868\n",
       "3.0  -0.022240  1.912341  0.590798\n",
       "4.0   0.008116  1.937837  0.747191\n",
       "5.0  -0.049070  2.872308  0.719664\n",
       "6.0  -0.064429  4.487638  0.610989\n",
       "7.0   0.080509  7.016621  0.427151\n",
       "8.0   0.010938  7.063429  0.529805\n",
       "9.0   0.028106  7.373304  0.598314\n",
       "10.0  0.080362  9.913438  0.448120"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data2 = IndexData['CHGPct'] # 上证指数日涨跌\n",
    "m = 10 # 我们检验10个自相关系数\n",
    "\n",
    "acf,q,p = sm.tsa.acf(data2,nlags=m,qstat=True)  ## 计算自相关系数 及p-value\n",
    "out = np.c_[range(1,11), acf[1:], q, p]\n",
    "output=pd.DataFrame(out, columns=['lag', \"AC\", \"Q\", \"P-value\"])\n",
    "output = output.set_index('lag')\n",
    "output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe5a51c2cf8>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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6LCy0iCpYiXXtLpHgdhQq1UVb7svWlDIIdHcEk7J33mnp1rU/l1BtMT9fFk8Y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\nQ3iWU3h/s/4eGxvt8KXZHsqEQ44UVHAej7LqK7cH3sKUbSUTaSytgg8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efDDoIWf48t2Z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\ngiAIGYCIMkEQBEEQhAzg/wP+7o4xNjUnfwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a52824e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temp = np.array(data2) # 载入收益率序列\n",
    "model = sm.tsa.AR(temp)  \n",
    "results_AR = model.fit()  \n",
    "plt.figure(figsize=(10,4))\n",
    "plt.plot(temp,'b',label='CHGPct')\n",
    "plt.plot(results_AR.fittedvalues, 'r',label='AR model')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "17\n"
     ]
    }
   ],
   "source": [
    "print(len(results_AR.roots))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KnE4xfib5tQd5EUh5pSgNrFRK7VRK9bNBnnRZuXIlgYGBFC36sMhCCGE/TZs2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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a5118198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pi,sin,cos = np.pi,np.sin,np.cos\n",
    "r1 = 1\n",
    "theta = np.linspace(0,2*pi,360)\n",
    "x1 = r1*cos(theta)\n",
    "y1 = r1*sin(theta)\n",
    "plt.figure(figsize=(6,6))\n",
    "plt.plot(x1,y1,'k')  # 画单位圆\n",
    "roots = 1/results_AR.roots  # 注意，这里results_AR.roots 是计算的特征方程的解，特征根应该取倒数\n",
    "for i in range(len(roots)):\n",
    "    plt.plot(roots[i].real,roots[i].imag,'.r',markersize=8)  #画特征根\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5ViTtP6muC+dvXP289bFHvMdlvDKqjEjVMdnAUEsbM/hdrtyv/jkL\nW4IHwbGa1V+ObWMf2b93PF/knPYeP9vx9aWd61bYgC/w4ZyWzBloKhdBXdFUP1VGZGPDWhGpF+PK\nWpSZNGegTyfOtq7fFS2XQXv0wouf29RudQNz6ud/zPfHXQuSeH9ryveHxdWL4x9K+J2xn/cntH7u\n9A2k9oF8v/HUSFXDoxWdGqlqZKyipDauv93k/00+wTljZt5+ZVL9cfTMmM4Eo79CQbBwXRjXX/CZ\nO3NGanqni79753U/cc5tTNsuS0Do1yXd4Jx7a+PvN0q6xjn3ntA235L0Z865f2v8fb+k9zvnHop8\n19slvV2Shi5c959u+qM72/tV08CJs2MtDYtoh1muJlVG9NxVS5ouzFk7dnGNpbjKPlrZSfI3whsV\nt4UuvPEXw5oGZvQ1VRC+TlZYEPBS30DTZ0qnDmhmOC1y9QtspAI7lwDXlH9x6esrl1WpnmskKvJd\n0YtZXCfQTh/S4MILU49f1oBGIEvgUK4mGz2jFRcs8TdsQp3UpH0mpc+bf2o0AjwXgGhjMjbdVvJe\ngKJl0ZcXaRdmX1lv6rD7gmvOqXT2uJ6zdqW2PLVHzhN8i2572cWr/O9H0hk00kfGqhoINYLDv6+d\nIEZaQCKcf7WZ81QbjIwwaHS4bORk07mclJZzH603rl353BSLaGPOdy4H5UOSDp4c1eHT0cZOa1kN\nayc45fuM73VJiZ2suEZ0J8FZNzosq4zIeY7FkjkDOrp7a9PvczrXSV2+/MKmjlPc/sPfWTp7XKWz\nx2PP3/p25+qq6M2AxE5+41iVxoab0hz9dyAtiBh3fkSDiyNjVfX3lWSq3/E8/Gx95EWW4xd7XUyo\nC8Lnd5aylPR+XMAirUObpaz7OrxHwg3g0O9qvdY1OnIJ0/LCguBFkCZvXesRbmSHrxFp7ZJAJwHp\naIesrySVzTTSCA5FOy7tdFjDwuVzINJJid7Ia/1wc70X/a7wueA9L0PpyxwQbLQbli9b3HQuJZU/\nyV9XZq0LwumPDXjFXKuynou+99P2Hw0ot+ZV87Xy0kgQdmigHqzxdb7nzuzT8vkzJan5uEXq3cSg\noavJzp6QZs1vyfdFQzO1ZE7/eNndsvNZuf7ZsXWZr64K509ScDYuYBLXoY8G8i688ILx4NfCxUvr\nNwYj50qWsqbqmGzGQNN1tTRy0rvtigWzmgKJcTcfFs6a0RJIkxq9jbHWG5VpwfmgLr80JTgrqen8\nDbcL467bjR5Q0+8M+gCpn/fU9bEBNU8fKK2PGATaj4TqknBe+erCgb6SBvpK8fkTSZNqldjge9yg\nCW/5kLRodr+O7dkqF5NXKxfO9t70laRy2bThqg1pKZ4WsgaEJnVRaefc5yR9TpI2btzovvKOaydz\n95Pi37cf1ru/9EFJ0offd8/4v//yi3ePD1f79t98UjMOb9cffeluvfvLt45v+7VNe/QPP4kMPXbS\ntRcv0muuXjn+ku/7P/y+e/SuN9yqk1fdrPLSdd7hpMG2kjS66BKNLVnb3Mgr98uV++WqY+obPa0P\n3XSF3vulD8rJtPw3Pn5u/nBlVKXhI9KC5eOfd06SlTW4+4fjU0c+/L57mn7K2+67XaeueFXLZ/qP\n7VK1KS0mWbm18hi/INXff/nzl+uvv3tHfd2S1o3rT6eIa8TWqvr5S5fotVevjJ1mNKNsqhw7oP6D\nT+q3Xv0SSfW1FoLj94df/Ibe8d07VB1apl97/q/q81+6VSbX9Lt9xyoQzR/fNBEnyfXP0sGTI1LJ\nH7EeOPC4Pvy7/1viPqP/Dm8bPb7hudzhY1WtOb3iyhW6PVRmJfnLrdR6/Bpl+VUbVugd992u6tAy\nlU/t14zD2/Xh993dtKkvrWH/9YPf0vDa1mlGpdHT+rXnL9eu++7Q6Ste2bRuhKpjGtz6v1Red4tc\n/5D3e8Pbztr6XX34tz+ZuFmQzj+KpPPdb/jDpr+T8j/6mhSfp8GxbjmXr7655Q6e65spZ+Wmczkp\nLdK5MlibOV8qnytvB0+OaN7gubrEdy4H5ePq1QvG0x8tA9Gy2pRnGdKX9Bnf65I0vPrndHZoafMH\nPfVqOA9u+dC9Orv6WsnOXSIH+kp683VrY6dvfv6Db9bYonWtx6JR1/zzN/94vH5415fqdXV15nyp\n3KeDJ0dkrqY5D9+lD7/vbr3tvY38DZffsEb57D+8zf/7JK1fPlc7v/P58WuN73cG08we3Xei5f2B\nA49rcOf3JUkf+v27x8/ZcF0X8B2nWs2Nf+YVV/5q01oV7/id/zH+XUlPNnnH73zRX79Hjl94X9G6\n2JuXkfM7+vmmtHZQVwX1ann9xxvnUmN6ZONcDF9zfPuN5sO5c7JPh06N6pKlQ3rdCy9qWbtI1TFd\ntHR+0/TXsRNHW6YHxgnK+O0f/Iik+nF/y0f/XaOzl3i37/esASGp6br4zJf+QKeuel1suyQpH5Py\nedPOo/rU97ZGrvGmmhRbL3k/02j3ROu4rIJj/daPf8E7/bh64Kn6ef27reegdO5aEfyu6FTmXQdG\n5WbO1cGTIyrNHahPhwilv2RSzdP+cf2zx8vKrTdervf+7x9p2k80XyV52wLVA09p6OGvqLLoYu/5\nFT4u0fyNthu816qM56IvzdF6KVjPK7z/mpPec/06lcz04PZD+tHTR1qmPAbXyvLoaZWtNH6uBWXi\nTdeuaTnXBvpKesd/XtdyPXjq0Cl966t3Sc7pFS9/mzasmq9vbN7rvZ6Pf9czD2vdS16hrftParTq\ngsaxTo1UdMG8meNTulyfZ5RWKP+Csji2aJ33WAXHp/n6VKnfyF28pilfSlYfYVH1zAAaCK1Xs7eR\nV/uOnZWbvViSdGqkkniOS8ll7W0f/5um66qklj5I+cRezV9+1fj+fedHUP5e98KLxtcgGqnU1Fcy\nLZzdrze+eLXuuPUtqe32uLr8D1++fvw6EW6795VMC2bN0OCMsnYdrJ+/B06clesbUN/BJ8cDfMsu\nWtNUV0TXAIr2AYI2gsl5869y4CmZTOWlF7esg+q7Vrz5uuc2TUVL7SNKetO1a/TXn/hiS/kKzsXK\n0DLd9No3NE2JTCv/4bIoyduv/PD7XtdU1wZr4N32iY9qZOXGljaCSfql5y7V/d/6SGwb6cVrF+o7\n//LDpt8i1Zfv6FuwXG//z6/R9ZctVXmaTy37u3dm2y5LQGivpPBt8pWN19rdphBqNafRRZeoOrRM\nDz19RCOLLlVtaOn4YqNXr16g+/98m/ezE1281+Q05+G7xk8W3zzJ4GJxduULx9eqOfcFje1C84OD\n7731xsubAlqVoQs0En0CR7lPZ1e+UJJaFqes1ZxGl17R1MkMPlOZt1LVaFpKJe8CmuHP3fmDnfWG\nftlTjJOGJzonlcr6x589oy37T45ftIJ5yE2NsZGFOrv2Jfr0P28bv8Ddf3jb+ONjg/1/6ntbm9YY\niQqXi6BjERXe/7mGS71iHKnUpIEhqVaVyqEKOocnb0WPb/CEi+i6CHFrGXjnUteqmtFfbllQ8aKF\ns5ryLVgX4KGnjzStC5DGt1CoZKosWKNPfW+rKis3qu/EvqYLY/VIvUraduCUv8w0DDS2zbLAanBM\n212kL007T1kL1hppmo8ecy6nCealRwMReT25J0tZzTtf21moO2jYnV11jWTl8deD+e3RtWSuXr1g\nvEFlcuPHoqlhXyrrWz/dp8rGt6j/4JPatPOoRhddUl/TpJHPI5WaNHeFxhbVRxEE656UG+sxWX0H\nCtYQCpdP3+8b6CvppuddqNv/p/9aE06/pNa1DGpVVWYt0pk1Py/nnD749Z9567q49XuCfAx/JrxW\nRfT1aMch+vko3+KkvvTVavWGc2n0tMoDA+NPfgnnX9a0Butdxa3lFRU8UWr8XIqsuxG332heRM/J\n6EKo4U5S34m9+ujbXtL02OPP/vlXWoPjDdFydcnSIV25Yl69fA4t0we//jONLrms5XN9JdOLL16k\nay9e5F27rflYvK6lk5dHXRm3aHJUuF7yrnHRqCsnsjaiyY3XBa9+wcpIoDh+0fO4ui7Y/zd/+kzT\ncfetsVJznsXGI79p066jmerUaFvgooWz9Fef+IpOXPMO1QaGpFJZf3H/k011WXg9trSn6IWvVeHr\nctq56AvS+dpgcU/22nXkjF5z9UptWDVfx6IL+YauldV5K/XkgZOp51p/zPVgw6r5uveRZ+rXj1D6\nfU+xGletqO/Uft164+X66qY9uvvhfeNBmGD/X9+8t9FuaW4/zyibXCP/ajWnkUWXaviSXx4/VtF2\nabDeUtNNx1JZlfmrZFVXz4pGXeB7eqJUv9Fw0/MuPBd8a+SVk8Y78lnOJV+7MzhXotdVSS19ECfT\ntqXrUs+P8BpBvjVk/iZybkbPyaDP1FKXz1ulr27aM35TOfr90fwZrTppaJlGhpaN7+vZ48PegHps\nH6DRRug/vM17rt72ia+oOrRUN73055oCMpKajruqYyqNnvauTZnURwwWhQ7OuaAumHHwyaY2wj/+\n7Jn6OmAvWBH7YJqS1UfwnDhbOXfzwrO2ocp99fZmqNwEa5t+7NuP169tMW2EixbOqh/LWQtbH6xR\nrehHTx9tqj8qV90sk6kyd7lU7tN7v/wf2rBqvu685ZppHxTKIktA6MeSLjWztaoHeW6W9IbINvdI\neo+Z3aX6YtLHk9YPOl9VIxezT/6vJ+We/1pJarqwxQlX1nEXnTjhSkySXrVhRUsDO3qxSFTua+r8\nhzs/QUDLtVzg6h3yU3NXNDWcg4u8r2GpakV9x/eMd3zCr69YNBT/iM9aVUfPjMbfQfcIsqPRvfJe\ntJIaY+GG1ejSy/Xk/pOxHbqwaMMlqWMR7P/pw6dViS7cWSqrNHxcM+Yu8jamkqR1sqOdW6n1ka1x\nnehouQ3u3jxn/VUtix9Kar6wlkuqDc7Xp763Vc9ZNifz3dloh1lSUyNYc1do9mN36103v6zpYjmy\ncmNrIFT1srFyweD4hTnrE/2yNFw74asL4o51uGHgHe0ROZeTJC0K2MmTe7KkP8zXyJ9ovvo6IXH1\nqi8gVi6ZXv78C5tGE0aFz68b1l+gS5cO6Zs/fWa8YR80Bs8OLdNf3P+kxi67wRscD+rvaHA/+pSx\ncPmM+31Bxz6tExjXSRhbtl5jjW12HTnTUteNLrpEJuf9/rggxnjHJvJ6tOMQF5iUWoNzvn0F6Qs3\nGEtOWjJnoHFX+Fz+ZU1r3EKqcXxPlArOxatXL4jdb/T74zrZ4U5OeFTCT/ceH7/5JEn9h7dppFFX\nRp/ssnpRc7kKFmINzr9dR854O6HPWTZHv/UL61rKU9yxqCy6uOX6MlG+TkZfyVoWVQ3XS2kLwebx\nsAhfoNgn7RrifYpRzbUEf+qjtAZj20rRTlxanRqkP+hwnVn/qqZFtcN1WTTgkHZTMykIIMWfi75z\nLtpJz/Jkr3DH3XutLJVbRg+lBRTC0oK34zcKQseucvKIKkMXaPPuYypZvb0c3f+W/Se91+UXrl6g\nh//jIQ2vvk4f/PrPdDpyrEYqNWneSp2+/BXjdXTcTUcnqc9ML15XD/T6np4Y3GgIRgEnLSDse8R8\n9KZo+Fyp1dz4yKa0Nur9f14fGZvp/Ggcf18bNyp6TgYBj9LY2dZ2Y6msux/e13RTOfz93vyJ3Kge\nrTrtPzGitYtnN6Urtg8QuekePVeDa100ICPVA2qbdh3VnT/YqQPHxlQbnNd0o7tUsvFFx4MF+KP6\nStbU7woHuaJthPB5G9e3/cDLnpt+86JWVXXWopbgc1obIViAPTiWQcDTOdWnJVZG9czx4eZr1bzG\niPHGNe/MaFWbdx/TA1sO6KWXL2vZz/kmNSDknKuY2Xsk3af6Y+fvcM49ambvbLx/m6R7VX/k/DbV\nHzv/lu4luXc9sOVAUwGNi5jH8UWZs9xJS+tEBZVc9GKRqFpJHJmUdVRCU8M30rDsK0m14SP1oZNz\nZ44PnYze6YwOw3aVUZVGT6tSbq3YQ+uRNhmIueMR1wCMe4JH06gkT2UdjmQHF8Bo8ChLxyJuhMXg\ntn/Su37/Q5nuPgaSykecdoKT0XIbTKm79f+6uaUsf2PzXu9FMulpCj7hDnNcEKQ2tDTTnYRyyfTK\nq5Y3dfizPtEvS8O1E766IOlYJ472SDmXw5I6TL4n90SngUSf3JM1/QFfI7/TfA0Pnb9h/QXS+vTH\ntvvO+1qjkZkUDAqfX5/+5231J8NFRyuEO1S+KYuREVTRO6WStHHNwvH3wttF8zrasU/qBCaNTIxV\n7qvfXOifnbkzG9ex8dXBcYHJ4O50+Ph5ty33aWzpc5vKUqXmdHx4TCVrfsJcO2kNB3Sk5EC7b+SW\narXxJ+5lffpoUic7aVRCcCyyjBwOytWmnUdjG9mB6FPEwuKOxdmVL5zQaD9fPvuuUeEpF756KRr8\njOr06ZCdSLuGeI97KPjj61j5pkRFO3FZ69S4dpuklpsvwY2wLO2GpIBZlnMiKAu+EQzBk72Cx1on\n7V/yXCvVWjbbCShkDd7WXH1PP955bhT6p763NfZR85ctm9OS1v6yac+xs+PtGl/wtv6D+zS6bH1T\nvRAXcKjWnC6cN3M8QJN0LNOCq0mjOKM3RZNGaUbPe0mxoz7izo+4m+rReqXmXNM5GQQ8vL/Q6oGn\nuHNpok8h83/ef9M9S3u0VDKVzHR8eGy8nIS327BqvobXvESV+avq/cSIuD5UXH8y/LuS+rbhgKCk\n8dG8Y1U3fnNqdNkVLcHntDaCbwRbWdLQ4AwdPzUmNzCr9WmZjbWLwoZHq3ps3wkCQgHn3L2qB33C\nr90W+reT9O58kzb9PLrvRKaIeZIsF52otE5U4oVd0hUXztGpkWpLQCbpUdBZRyXEDtOWNHugT8cH\nF2pk7Uuahk5+5wv1gEJf3+u9w7CD4aKVq1+X2FiaEVnfwHfHI64BGHf3MXFUUqhD13oBbA0eJd2J\njBthUX/Ucvrdx7Ck8hGn3eBk+E7FtyWdXX1d0zTJQNJFMvz4yKzD25OmvAR3FaIX+bBgtEHS6A+f\ntMdfpk0PzCLtTnM44BHXScpyLocFn4/eyYyOysjSyWzn7l/AN6qik7v20Ttd0TthcTqZtutrjPnu\nVDeJNKKiQ//bnTIXLSvRjn1aJzBxZKJPrVofaeppWMZ2ZuM6Np78jXtkdnB3Om1bVeuL4SdNX0n6\nfFxaw8HVtE5MZWiZls2dqWePDzdNHwymKvumkfjyIq2TnaUz4Asu+qQ9Nnigr6Tr1i2OLY9JnZhO\nR/sljaTxXaOCPPHVS75p4Vk7j3lLC35kvase7liFp0QFn2nnRlha+rwiAb9ObmoG0urftKmkA30l\nvTMzRdEAABRpSURBVPHFq1UyS91/kL9bnj15bqphpF72TRXuNP2+OvpbP2sehR48aj5aJl+9YYW2\n7D/pWefxbPoo+ZgpkWl5ndYG9I0sjU4/jaujolOufHXY1v0n9Qd3P9J03gcB3+ioj/A+486PKF+9\n4ptymHYDPe5cSgs++/I89fMxN92z3lyI2+6pQ6fqNxUuurZpqnwgGmRJC3L5fldS33Z80EJoNO+8\nwT6dGa02T5kLjXa7aOGsxDaCb4RW1dXXt4rrC/sCwoP9ZV2xfG7q7z0fTOqi0ue79cvnZo6Y5ymt\nE5V0YR/oK+nlz1+uDavmt4zwKJVen7jfrKMS4oIrZ0arTZH4YOhksCi1b1/BcFEn05o2GkuSUu94\nhPkaY3FzqoN8DE+JSRrOGM2fuLztZISFd1cJ5SNJu8HJLNOovI2wBt8aQ1k6EXFTXoK7Ct6LvPyj\nDbKKa0y1rJEUuhOWp2jAI66T5DuXkwIO0Q5TzalpLno4n7J2MtuZXtfOej9Jxhata1mjJ8td8U6m\n7catZRLcqc7SeHrRmoV67J8+JkmpeZVlPbKsDcSoLHc1+8umsZGzLQuzZ+nM+jo2vvxt5zjETk88\n8Lhs5ZXeczRc/q9cMS9TWqPB1SydmGePD2ve4AwdOTPWsi5IlnVJpPSOWafH2ifp+GfpHCd1Yjod\n7ZcW8PLVQUn1Uvi6Fl3vJ8914NJMpEMe9/uS1jJpt07NOsLBF/DL2m6IXovizsXYwEJIUD6DtQjT\n9h/k1Wcf2Kbvbz/c8n4n7YN26i3feTtWdXrRmgVau3io5ZhnWecxTZY6Omk0V1g0TdFpzamjOENT\nri6/YG5rHVZ12nuseUrPk/tP1auT0KiP8DS3tPMjrKMbOWqdhRB3LvmCz+M3BxqS6tTU6Y3lPj24\n/ZA2rJqf+UZW3HY1F7+2ZjjIEu5DJdUL7QZSo8eiUqs/ibFlDdnQaLd1S2brkiVDsaNBfb81cV1a\nyRsQ3rBqvq6/rHVB6vMRAaEcXX/Z0swR8075FjxL60TFXdhnlG08Tb41grLeqU4blZA1uJIlSBHw\nTZPopLEU95uyNqzCi2uGAzaJd9cyjtrIuhZBmrjyEe0YTbQxnHXYangu89Ezo+MLvfrWGMrSiUia\n8hJ3kY8bbZBVXGMqmv6kRZ0nsnhyWsAjei4HsqzR08koxSTtTK9rZ72fJGmLXsfpZNpu3GiW4E51\neCRCXEf7unWL9bjq5SEpr9KG3ielKUsnMG6EWPA0qReuXlif5jDa+gjmrJ3ZLPk7kbo6vLhmeCpy\nMKUovK5AeFSP70ZCUnDVG4iJdGJGq64RDOp8XZLgN8adk0nHut06JlqvRUfZpn0+rRPTSaAqz4CX\nL7151nXtmGiHPE70M1luhKWNNh2pND85af/JkQkH/JJG2MXd1GtnKmnWvLpu3WI9tPNoptGIWb4v\n6zkdd96uXTzkPea+shAXsOsrmWYPlBsjLNLXU+o0IOpLUzD9NO23hqdcXbZsTqbOu2/R+PA0t3Z0\nciOn3SlpvuBz2o023+cl//TGHz19RMe+/bg+8LLnZgpExtU5JWsdTSvVj0HcUgDREZbtXivCsq6X\nFq5rth88rff84iWxowF9vzV4enK0D7d8/mB9ymXEjc+7QJ/4LxsKsaC0REAoV+U2IuadiHuaytDD\nX0nsRPku7MEjF+Oe7NTOujNpDec871pF9zvRxlI728Y1rILFNcMBm7hRUS++eJE2f+2zmUZg5cXX\nyY7rGKUN50/qYGRtuJdKpo1rFurqixZkWmMoa0c+bspLlnUF2hXXmPKukeRZ1LndRamj+V4ZuqCj\ngEeea/Rk1U6HLinQ2460Ra+TtFuvxDWywneqw43BpGkqaaM9vUPvPeuRdTLSKfjtSSPENu8+Vp/m\n4FloOGtnNmv+dlJXb1jVvF5Y9Cku0XUFgvL/073HU9MaDa5mvQM50YVO08Qd6ytXzGt7tGWenUSp\ntRMTdw4mXVc6DW5OhrSAW9bRmN0coZS2n6yjTaNT8iYa8Iu7URB3LkrtTSXNqtO6Mk7Wc3qi+00L\n3gbryOUdcOxEkNYnnj3pDY6XrHW0ZFznPWnR+Ha0cyMn6yyEJBPJ67jpjcHamz/de3xCN1o27z7m\nvZZF19aM/o68RlimrZcWt8RE8PTArAMA4s6JG9Zf0NIfndVf1iuuWl6YYJBEQCh3aRFz3wifrCM/\nkp7gkVQZdNLwaHfdmaSGsy9f2pm+1Svayce4i/1v/cI6vff/jX8UdDf4OtlxHaOkwEBaEKPdhrvv\nXJlo4z/tIp9nwztr+n3TA9sZNePL97Elz+ko4JHHGj3tjjrIckzD3+lbe6pdaYte5ylLvZC1EZU2\n2jNu0V5f0LXTzmZSwzXuDn3SQsOTKXpeRZ/i4ltXoNPRJlnvQLZ7V7ldSY38ToK/eXUSs3Z4064r\neXfY85KW7ixB/8nqkCftJ+to07B2A34+nYz86kZZmKzAXN77zfL5qfhdSWn96qY9uvvhfS3B8bWL\nh1qui77Oe9qi8e1o50ZO1lkI3RLkn296Y/ic6fRGS1xepK2t2e1rRdJi+VnqGl/64oLc0f0XaapY\ngIDQJIp7pGH/wSczdaziOgPVoWWpJ2a7J26n685kNVUX4Ylq5+52L/2+aLo76RildTDyaKzlfdfM\nd5HvprTpk4F2GsPeQPDgQpWHj6pvwYVt5dNE1+hpd2STL0+iae3kO9NkWfQ6TxMZeRiWNmXOG3AM\nPbkqLgiVl7iAa9JCw5Mp7bzqNOAcFwTNegey07vKWfmOdTenWmVN00Qe1R1cV3rtWpo13Z0G5CZT\nreY0uvSKlhF/WcpJO9dq3/nTybnYrbIwFZ38PPabd7u/m0ol02uvXhm7hlw7nfc8jn+7N3KmWqnk\nn96Yx2jJqa5jk/Yf9C2ii+V3GgiMO6bR/b/z+nWFGh0kERCaVL67lxpaprNDyzJ1guJGH4QfVZyX\nyVh3ppcq24mK6zDk9fs6WW8m72H4aR2MvKYbpH1HLwzDz5r+YPqkdHNTmn1PSIjL/7hA8IyDT+i9\nr/3Pbf3Oia7R00knJ+2YdKvjlHXR616SNmUu6ISNr/ETeXLVRIJoWfTqaI1AWr3WSfrTApZZOjFT\nca3rhalWWX53lsBVL7YV0tI91QG5NEG5Hl1yWct7We++Z7nWJq0V1Om01l4rC8im3fZZ3LHO6/hP\nt7LUzevvVOdF0v4no10f3X/RgkESAaFJ5e3YtbEgn68yCD/ZKk95rjvTjokstDtVujHCIev3x0lb\nPLiTC0uWDkYeF5Wk7+ilYfhxotMnfcci7QkJYXGB4L5T+zP/zvB5dcP6C6T1na1t1mknp91pSL3U\ncZpsWRpG54be11+frNEHUx1wTZNWr3WS/nYDllNd/wR6PXgX6IXAVSfS0t3rv2u8XGdYDyxOlrKe\ntFZQL9cl6I5eqR+no16//nYT5ab7CAhNIm/HLiStE+SrDDp9FHmavNadaUe3Ayvd0u2h4UnfHydt\n8eBOLiy90MGYjGH4eQclfcci7QkJYRMNBEcDUp/+520dn1fd6OTk/Z3TMajcjlLJVC7V1ygJm6wg\nWi83zLoxDWC6BiynS+ehF64rnUhLd6//rslaDyzt/OnVugToRb18/cX0RkBoEoUbCN5HGnawSFY3\ngkFx+8pzQU6f6TDn3qfbHYa473/q0KnYjm+WxYPbvbD0Qgej23mdZ1AyCEycXflCVTxpTnpCQthE\nA8F5PlmsG52cPL9zugaVu7FQd1Hl3WCeznk9HToPvXBd6URaunv9d03WemDT+fwBgKIgIDSJwg2E\ntMcPZ9GNO+FT+fjXLJ39Xrz7306+dJJ+3/fPKJt+9PTR2GlkE108OM5UdzC6XQbzCkpGAxNR7aZ5\nIoHgPJ4sFk5H3p2cPL9zOgaVu7FQN/JDXnffVF9XOjWdFvWNmqxyzfkDAL2PgNAkCzcQkh4/nKYb\nd8Kn+vGvaZ39Xr37nzVfOk2/7/vrjzc+GzuNbKKLB/eqbpfBvEYgRQMTYQOTfCzyDg52o5OT13dO\nx+k93VioG/khr3E+mqxyzfkDAL2PgNAUmkgnqBt3wqf68a9pnf1evfufNV86Tb/v+586dFpf3bSn\nabug4yulP61ouup2GcxrBFLc+gzrl8/VTc+7cFKPxfkaHPSZjtMTurFQN/JFXuN8NFnlmvMHAHob\nAaFpqht3wqf68a9pnf1evvuf1+N12/n+yXjiVy/q5u/KawRS3PoMNz3vwkk/HudrcNA3/XI6Tk+Y\njkEsAADw/7d3fyFy3WUYx59nJ4luV8NW06z5s2hb1pCYixWWlFqRhaBGQaJeSHsRKgT0ooZ6558b\n610R9VZQUohBUwK1WBSUNjSIIGmSdmuaXVdDk5J/7jaUJaYbXXb29WLO1tlxZrY7nck5M7/vB8LO\nnhkyb5Jn38y8vOcM0BsYCHWpbvi0n1Y0e7NfhPrei3bW341vfLtBuzaQivbv02vDwWanX3bb8Kto\nWQEAAEA6GAh1qaJ/2k8nFL2+1bSz/kaDC0mFu+h2t2nH8ITrJnTWaqdfdtPwi6wAAAAgLwyEulTR\nP+2nE4pe32raXX/t4KKoF91OVa9t5RRJkU8fbQVZAQAAQB4YCLXZg/d/+I4+30Mjmwr3e27sXy+p\nc38Xnfgz30mdqv/E1Iwu3nh7xdbExRtv69+LZe3dOdSR50Q+3s3PWHkptG7LDi0MDGl+YVHjOzar\n1CODwfmFRf3+3HXNL5TfOda/oaR9uz9yx3swAAAA0K368i4AQHucv3ZTt6veIEvS7YWyJq/dzKki\ndEJ5KTQ/eJ/mtj2oE1MzKi9F3cccOHxKb458SXPbP6VDx17RgcOn6j62G43v2KzR4UHdtaEkS7pr\nQ0mjw4Ma37E579IAAACArsGGENpq+c3qwsCQTkzN9NRWQtF9YutG9W8o/d/WxK6tG3OsCu1UPeiJ\nvnU6dOwVjQ4P6ujBB1b8nJ2cntXE5TlFqbItNr9Q1sTlOZ2cnu2JbbFSn3X04AM6OT2ryWs3tWvr\nRnoNAAAAsEZsCKFten0roejYmuh9KwY97lsx6KmWwrZYqc/au3NIh/aOaO/OIYZBAAAAwBqxIYS2\n6fWthKJja6L3NRv0VP+MsS0GAAAAYDVsCKFtUthKKDq2Jnrb8qCnWr1BD9tiAAAAAFbDhhDahq0E\noLOWBz0Tl+d0e6Gs/gaDHrbFAAAAAKyGgRDa5t2+WQXQmrUMepa3xThdEwAAAEA9jsjngr9jY2Nx\n5syZXJ4bnVNeCrYSAAAAAADIie2zETG22uPYEEJbsZUAAAAAAEDxcVFpAAAAAACAxDAQAgAAAAAA\nSAwDIQAAAAAAgMQwEAIAAAAAAEgMAyEAAAAAAIDEMBACAAAAAABIDAMhAAAAAACAxDAQAgAAAAAA\nSIwjIp8ntt+U9EYuT95+myTdyLsIFAqZQD3kArXIBOohF6hFJlAPuUAtMoFlH42Ie1Z7UG4DoV5i\n+0xEjOVdB4qDTKAecoFaZAL1kAvUIhOoh1ygFpnAWnHKGAAAAAAAQGIYCAEAAAAAACSGgVB7/Dzv\nAlA4ZAL1kAvUIhOoh1ygFplAPeQCtcgE1oRrCAEAAAAAACSGDSEAAAAAAIDEMBB6D2zvsz1t+4Lt\n7+ZdD/Jj+5Ltc7YnbJ/Jjn3I9vO2/5F9vTvvOtE5tp+yPWv7tapjDTNg+3tZ75i2/fl8qkanNcjF\nE7avZv1iwvYXq+4jFz3O9rDtF21P2j5v+/HsOP0iYU1yQb9IlO33237J9qtZJn6YHadXJKxJLugV\naAmnjLXIdknS3yV9VtIVSaclPRIRk7kWhlzYviRpLCJuVB37kaS3IuLJbGB4d0R8J68a0Vm2PyPp\nlqRfRsTu7FjdDNjeJemYpD2Stkp6QdLHI6KcU/nokAa5eELSrYj4cc1jyUUCbG+RtCUiXrb9QUln\nJX1Z0tdFv0hWk1x8TfSLJNm2pIGIuGV7vaQ/S3pc0ldFr0hWk1zsE70CLWBDqHV7JF2IiNcjYkHS\n05L251wTimW/pCPZ7SOqvLBDj4qIP0l6q+Zwowzsl/R0RPwnIi5KuqBKT0GPaZCLRshFAiLiekS8\nnN3+l6QpSdtEv0hak1w0Qi56XFTcyr5dn/0K0SuS1iQXjZALNMVAqHXbJF2u+v6Kmv/Hjd4Wkl6w\nfdb2N7JjQxFxPbv9T0lD+ZSGHDXKAP0Dh2z/NTulbHndn1wkxvbHJH1S0inRL5CpyYVEv0iW7ZLt\nCUmzkp6PCHoFGuVColegBQyEgPb4dESMSvqCpMey00TeEZVzMzk/M2FkAFV+Juk+SaOSrkv6Sb7l\nIA+2PyDpGUnfjoib1ffRL9JVJxf0i4RFRDl7fbld0h7bu2vup1ckqEEu6BVoCQOh1l2VNFz1/fbs\nGBIUEVezr7OSnlVlFXMmuybA8rUBZvOrEDlplAH6R8IiYiZ7Mbck6Rf63+o2uUhEdt2HZyT9KiJ+\nkx2mXySuXi7oF5CkiJiT9KIq14mhV0DSylzQK9AqBkKtOy1pxPa9tjdIeljScznXhBzYHsguACnb\nA5I+J+k1VfLwaPawRyX9Np8KkaNGGXhO0sO232f7Xkkjkl7KoT7kYPmFfOYrqvQLiVwkIbsg6GFJ\nUxHx06q76BcJa5QL+kW6bN9jezC73a/KB9n8TfSKpDXKBb0CrVqXdwHdKiIWbX9L0h8llSQ9FRHn\ncy4L+RiS9GzltZzWSfp1RPzB9mlJx20flPSGKp8Ugh5l+5ikcUmbbF+R9ANJT6pOBiLivO3jkiYl\nLUp6jE976E0NcjFue1SVNf9Lkr4pkYuEPCTpgKRz2TUgJOn7ol+krlEuHqFfJGuLpCPZJxv3SToe\nEb+z/RfRK1LWKBdH6RVoBR87DwAAAAAAkBhOGQMAAAAAAEgMAyEAAAAAAIDEMBACAAAAAABIDAMh\nAAAAAACAxDAQAgAAAAAASAwDIQAAAAAAgMQwEAIAAAAAAEgMAyEAAAAAAIDE/BePooDiT2VTbAAA\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a521c198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,5))\n",
    "ax1=fig.add_subplot(111)\n",
    "fig = sm.graphics.tsa.plot_pacf(temp,ax=ax1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "aicList = []\n",
    "bicList = []\n",
    "hqicList = []\n",
    "for i in range(1,11):  #从1阶开始算\n",
    "    order = (i,0)  # 这里使用了ARMA模型，order 代表了模型的(p,q)值，我们令q始终为0，就只考虑了AR情况。\n",
    "    tempModel = sm.tsa.ARMA(temp,order).fit()\n",
    "    aicList.append(tempModel.aic)\n",
    "    bicList.append(tempModel.bic)\n",
    "    hqicList.append(tempModel.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe5a00dee48>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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EgtD27Tbovf9+YHdv0CD46U9t4OvUye0qRUSkOlH4ExERCQLn6u517GhHLAwf\nDldfbU/kFBERORuFPxERkWqqpLu3ZAl8/LG6eyIiUjEKfyIiItVEbi58/nnpcs4zu3sle/fU3RMR\nkUuh8CciIuKiHTsC9+7l5EBUlA15M2bY5Zzq7omISGVQ+BMREbmMynb3liyBTZvs9Q4dYNo0dfdE\nRKTqKPyJiIhUsZLuXsnevbLdvfvuK9275zhuVyoiIqFM4U9ERKSS5eUF7t0r292bOtWGvWuuUXdP\nREQuL4U/ERGRSnCu7t7VV8NPfmIDX+fO6u6JiIh7FP5EREQuQdnu3pIlsHGjvR4XB1Om2INaBg2C\nunXdrFJERKSUwp+IiMgFyswM7O6dOgWRkba7d++96u6JiEj1pvAnIiJyDnl58MUXpXv3Srp7sbEw\neXLp3j1190REJBgo/ImIiJTxY9296dNt4OvSRd09EREJPgp/IiJSo5Xt7i1ZAhkZ9npsLNx5pw17\n116r7p6IiAQ/hT8REalxdu4sDXv/+ldpd2/gQLjnHnX3REQkNCn8iYhIyMvLgy+/LN27d7bu3jXX\nQL16rpYpIiJSpRT+REQkJP1Yd+/uu23gS0hQd09ERGoOhT8REQkJ+fmBe/c2bLDX27eHSZPs3D11\n90REpCZT+BMRkaC1a1dgdy87GyIibHfvrrvU3RMRESlL4U9ERIJGfr7du/f+++W7exMnlp7Mqe6e\niIhIeQp/IiJSrf1Yd2/aNBv4EhPV3RMRETkfhT8REalWCgvh66/h3Xdt4Fu/3l5v1w7uuKO0uxcT\n426dIiIiwUbhT0REXHfyJHz4ISxeDP/8Jxw9art7V10FU6equyciIlIZFP5ERMQVe/bYsLd4MXzy\nid3P17gx3Hgj3HQTDB0K9eu7XaWIiEjoUPgTEZHLwhhYs6Y08K1aZa937Aj33w+jRsGVV0It/S+T\niIhIldD/xIqISJXJy4PPPisNfLt326Wbqanw29/aDp9GMYiIiFweCn8iIlKpjh61oxgWL4YPPrD7\n+WrXtss4n3wSRoyA5s3drlJERKTmUfgTEZEK27attLv3xRdQVAQtW8KECba7N3iwDYAiIiLiHoU/\nERG5aD4frFxZGvhKhq0nJcHPf24DX9++EBbmbp0iIiJSSuFPREQuSE4OLFtmw96778LBgxAeDldf\nDdOnw8iR0KGD21WKiIjIuSj8iYjIOR04AO+9ZwPf0qVw+rQdv3DDDba7d8MN0KiR21WKiIjIhVD4\nExERP2MYCCqJAAAgAElEQVQgIwPeeccGvpUr7bV27eCuu+w4hoEDITLS7UpFRETkYin8iYjUcIWF\n8OWXpfv3tm2z1z0e+PWvbYevRw+NYxAREQl2Cn8iIjXQiRN2DMPixXYsw7Fjtps3eDA8/LAdx9C6\ntdtVioiISGVS+BMRqSF27bIHtSxeDJ98AgUF0KSJ7ezddJOdw1evnttVioiISFVR+BMRCVHGwOrV\nNuy98w6sWWOvd+oEDz5oA9+VV9oTO0VERCT0KfyJiISQvDzb1SsZx7Bnj92r178/PPecDXxdurhd\npYiIiLihQuHPcZzfAyOBfGAbMNUYk+U4Tj/glZLbgCeNMYuKX/Mp0Ao4Xfz8UGPMQcdxooBZQDJw\nBBhvjMmsSH0iIjXBkSN2397ixXYfX3Y21KkD118PTz0FN94IzZq5XaWIiIi4raKdv6XAo8aYQsdx\nfgc8CvwcWAd4iq+3Ar5zHOddY0xh8evuMMaknfG17gKOGWPiHceZAPwOGF/B+kREQtLWraXjGL78\nEnw+aNUK7rjDdveuvRaio92uUkRERKqTCoU/Y8xHZR6uAMYUX88pcz0aMBfw5UYBTxZ/vhB40XEc\nxxhzIa8VEQlpRUV25l7JOIaMDHu9Rw947DEb+JKTISzM3TpFRESk+qrMPX/TgPklDxzHSQH+DrQH\nJpXp+gG86jhOAfAm8HRxwGsN7AYo7hgeB5oAhyuxRhGRoHHqFCxbZsPee+/BwYNQqxZcfTXcdx+M\nHAmxsW5XKSIiIsHivOHPcZxlQMuzPPW4Mead4nseBwqB10qeNMasBLo5jpOIDXtLjDG52CWfex3H\nicGGv0nYvX4XzHGc6cB0gHbt2l3MS0VEqrV9+2zQW7zYBr/cXGjQAIYPt929YcOgYUO3qxQREZFg\ndN7wZ4wZ8mPPO44zBRgBDD7bEk1jTIbjONlAEpBmjNlbfP2k4zhzgX7Y8LcXaAvscRynFtAAe/DL\n2Wp6heIDZTwej5aFikjQMgbWry9dzrlypb0eGwvTp9vAN3AgRES4WqaIiIiEgIqe9jkMeAS4uuw+\nP8dx4oDdxcs32wMJQGZxqGtojDnsOE4ENjQuK37ZYmAysBy7d/Bj7fcTkVBUUGAPaSk5sGXHDnu9\nXz94+mkb+JKS7IgGERERkcpS0T1/LwJRwFLH/paywhjzE2AA8IvifX0+YEZx4KsLfFgc/MKxwe8v\nxV/rb8Bsx3G2AkeBCRWsTUSk2jh+3I5hWLzYjmXIyoKoKBgyBH7xC7t/r1Urt6sUERGRUFbR0z7j\nz3F9NjD7LNdPYef4ne01ucDYitQjIlKd7NxpB62/8w58+ikUFtp5e7fcYrt7110Hdeu6XaWIiIjU\nFJV52qeISI1mDKSnl+7f++47ez0hAWbOtIHP64XwcHfrFBERkZpJ4U9EpAKMgRUrYM4cePtt+OEH\nO2uvf394/nm7nLNzZ7erFBEREVH4ExG5JNu328A3ezZs3Qq1a5eOYxg+HJo2dbtCERERkUAKfyIi\nFygrC954wwa+L76wp3Fecw08/jjceivExLhdoYiIiMi5KfyJiPyIggL46COYNcse3JKXZ/fw/eY3\ncMcd0K6d2xWKiIiIXBiFPxGRMxgDq1fbwDd3Lhw6ZJdxTp8Od94JycmawSciIiLBR+FPRKTYnj3w\n2mt2Wef69RAZaffwTZoEw4bZxyIiIiLBSuFPRGq07Gx46y0b+P71L9v1698fXn4Zxo2DRo3crlBE\nRESkcij8iUiNU1QEn3xil3W++Sbk5EBcHPy//wcTJ0J8vNsVioiIyOVkjOH06dOcOHGCEydOcPz4\n8bP+2bx5c+699163y71kCn8iUmOsX28D35w5dh5fgwY27N15J1x5pfbxiYiIBKP8/PxyIe1swe18\n1woLC8/7vfr376/wJyJSXR04APPm2WWdq1ZBrVpwww3wwgt2AHt0tNsVioiI1EyFhYWcPHnykoNb\nyZ95eXnn/V6RkZE0aNCA+vXr+/9s3759uWtlPz/zWkxMDBEREZfhJ1N1FP5EJOScPg2LF9vA98EH\ndplncjL84Q8wYQI0b+52hSIiIsHL5/ORnZ19Sd21sn/m5OSc93uFh4eXC2StWrUiISHhvGGt7J9R\nUVGX4SdT/Sn8iUhI8Pngq6/sss4FC+DECWjTBh5+2J7W2bWr2xWKiIi4yxhDTk7OJXXXyn5+8uRJ\njDE/+r0cxyEmJiYgkDVu3JjY2NgL6rKV/Fm7dm0c7cuoNAp/IhLUtmyxHb7ZsyEzE+rWhTFjbOAb\nNAjCw92uUERE5PIoLCwkIyOD9PR00tLSWLduHceOHQsIbkVFRef9OnXr1i0Xwq644ooL7rLVr1+f\nevXqERYWdhnetVwMhT8RCTpHj8L8+TbwLV8OYWEwZAg89RTccosNgCIiIqGsqKiIjRs3+oNeeno6\nq1ev5vTp0wDUq1ePnj170qFDh4taHhkTE0OtWooIoUr/lxWRoJCfD++/bwPfe+/Zx0lJ8NxzcPvt\n0Lq12xWKiIhUjaKiIjZv3lwu6J06dQqwnbrevXtz77334vF4SE5OpnPnzuq8STkKfyJSbRkD335r\n9/G9/jocOWIPa/npT+14hp49NZ5BRERCi8/nY8uWLf6gl5aWxurVq8nOzgagTp069OrVi7vuussf\n9Lp06UK49jnIBVD4E5FqZ+dOO4tv1izYvNmOY7j5ZruPb+hQO65BREQk2Pl8PrZt2+bv5qWlpbFq\n1SpOnjwJQHR0NL1792bKlCn+oJeQkKBlmXLJ9DdHRKqFEydg4UK7rPPTT+21q6+GRx6xB7g0aOBq\neSIiIhVijGH79u3lgt7x48cBiIqKolevXkyaNMkf9Lp27aqgJ5VKf5tExDWFhbBsme3wLVoEubnQ\nqZM9uGXiRIiNdbtCERGRi2eMITMzMyDopaenk5WVBdiB4z179uS2227D4/Hg8Xjo2rVr0A8Ql+pP\n4U9ELrvvvrOB77XX4MABaNwYpk2z+/j69dM+PhERCR7GGHbt2lUu6B09ehSAiIgIevTowbhx4/xB\nr1u3bkRGRrpcudRECn8icln88APMnWtD39q1EBEBI0bYfXzDh0NUlNsVioiI/DhjDHv27PEfxFIS\n9o4cOQJArVq16N69O6NHj/YHvaSkJKL0P3JSTSj8iUiVOXUK3n7b7uNbuhR8PkhJgZdegvHjoUkT\ntysUERE5O2MMe/fuDejmpaWlcejQIQDCw8NJSkri5ptvJjk5GY/HQ/fu3YmOjna5cpFzU/gTkUrl\n88Fnn9kO38KFkJ0N7dvDY4/ZLl/nzm5XKCIiUt4PP/xQLugdOHAAgLCwMLp168aIESP8Qa9Hjx7U\nrl3b5apFLo7Cn4hUiowM2+GbMwd274aYGNvdmzQJrroKNGdWRESqi/3795cLevv27QNs0EtMTGTY\nsGH+oNezZ0/q1KnjctUiFafwJyKX7NAhO3x91ixIS4PwcLj+enjuORg1CvQPoiIi4raDBw8GDExP\nT09n7969ADiOQ0JCAkOGDPEHvV69elG3bl2XqxapGgp/InJRcnPhvfds4FuyxI5r6NUL/vu/4bbb\noGVLtysUEZGa6vDhw+WC3u7duwEb9Dp37sygQYMCgl5MTIzLVYtcPgp/InJexsDy5TbwzZ8PWVnQ\nqhU89JBd1tm9u9sViohITXPkyBHS09MDlm/u3LnT/3ynTp0YMGCAf2B67969qV+/vosVi7hP4U9E\nzmn7druPb/Zs2LYN6tSB0aNt4Bs82C7zFBERqWrHjh0rF/R27Njhfz4+Ph6v18v9999PcnIyffr0\noUGDBi5WLFI9KfyJSICsLFiwwAa+L7+0A9evuQaeeMIGP62OERGRqpSVlcWqVasClm9u377d/3yH\nDh3weDz85Cc/8Qe9Ro0auVixSPBQ+BMRCgrggw9s4Fu8GPLyIDERnn0W7rgD2rZ1u0IREQlF+fn5\nfPfdd6xYsYLly5fz7bffsnXrVv/zsbGxJCcnc88995CcnExycjKNGzd2sWKR4KbwJ1JDGQPp6Tbw\nzZtnT+5s2hTuvRfuvBP69LFdPxERkcqyd+9ef9BbsWIF6enp5ObmAnDFFVeQkpLC1KlT8Xg89OnT\nh6ZNm7pcsUhoUfgTqWF27YK5c+3hLRkZEBlpxzJMmgTDhkFEhNsViohIKMjNzWX16tX+oLd8+XL2\n7NkDQGRkJMnJycyYMQOv14vX66WtlpmIVDmFP5Ea4NgxWLjQDmD//HN7rX9/+N//hbFjQVslRESk\nIowx7Ny5kxUrVviD3urVqykoKACgffv2DBgwAK/XS2pqKj179iQqKsrlqkVqHoU/kRCVlwfvv28D\n33vvQX4+dOkCTz8Nt98OcXFuVygiIsEqJyeHtLS0gCWc+/fvB6B27dr07duXhx56iNTUVFJSUmjV\nqpXLFYsIKPyJhBSfD776yga+BQvsyZ0tWsCMGTBxovbxiYjIxTPGsG3btoCg991331FUVATYMQtD\nhgwhNTUVr9dL9+7didAeApFqSeFPJARkZNjA99prsHNn6Ty+iRPtPL5a+i9dREQu0MmTJ/n222/9\nQW/FihUcPnwYgHr16tGvXz9+8Ytf4PV6SUlJoVmzZi5XLCIXSr8SigSpffvg9ddt6Fu1CsLCYOhQ\neOYZe4BLvXpuVygiItWdz+dj06ZNAXv11q9fj8/nAyAhIYGRI0f69+p17dqV8PBwl6sWkUul8CcS\nRLKzYdEiG/iWLbPLPD0eeOEFGD8eWrZ0u0IREanOjh07xjfffOMPeitXriQrKwuABg0a4PV6GT16\nNKmpqfTr10/D00VCjMKfSDVXWAhLl9rA9/bbkJMDsbHw2GN2AHtCgtsViohIdVRUVMSGDRsC9upl\nZGQA4DgOSUlJjB071r9Xr0uXLoSFhblctYhUJYU/kWrIGEhLs4Hv9dfh4EE7juHOO+0+viuv1MEt\nIiIS6PDhw6xcudIf9L755htOnjwJQJMmTfB6vdxxxx14vV769u1L/fr1Xa5YRC43hT+RamT7dnto\ny5w5sHkzREXByJE28A0bZh+LiIgUFhby/fffB+zV27p1KwDh4eH07NmTSZMm+ffqdezYEUf/aihS\n4yn8ibjsyBE7lmHOHPj6a3tt0CB45BG49VZo2NDV8kREpBrYv39/QNBLS0sjJycHgBYtWpCamsrd\nd99NamoqycnJ1K1b1+WKRaQ6qlD4cxzn98BIIB/YBkw1xmQ5jtMPeKXkNuBJY8yi4tdEAi8CgwAf\n8Lgx5k3HcaKAWUAycAQYb4zJrEh9ItXV6dN28PqcObBkCRQUQLdu8Nvfwm23Qbt2blcoIiJuyc/P\nZ82aNQF79TIzMwGIiIigd+/e/qDn9Xpp3769unoickEq2vlbCjxqjCl0HOd3wKPAz4F1gKf4eivg\nO8dx3jXGFAKPAweNMZ0dxwkDGhd/rbuAY8aYeMdxJgC/A8ZXsD6RasPng88+s4Fv4UI4cQKuuAIe\nfNAu6+zRQ/v4RERqoj179gQEvfT0dPLy8gBo06YNXq+XBx54AK/XS58+fYiOjna5YhEJVhUKf8aY\nj8o8XAGMKb6eU+Z6NGDKPJ4GJBTf5wMOF18fBTxZ/PlC4EXHcRxjTNnXigSdtWtt4Js7F/bssfP3\nxoyxgW/QINC4JBGRmiM3N5dVq1b5g97y5cvZu3cvAFFRUXg8Hu6//368Xi9er5c2bdq4XLGIhJLK\n3PM3DZhf8sBxnBTg70B7YFJxF7Bk99JTjuMMwi4Vvd8YcwBoDewGKL73ONCE0nAoEjT27IF582zo\n+/57qFXLHtjy/PP2AJc6ddyuUEREqpoxhszMzIC9emvWrKGgoACAuLg4Bg4c6D+UpWfPnkRGRrpc\ntYiEsvOGP8dxlgFnGx39uDHmneJ7HgcKgddKnjTGrAS6OY6TCLzqOM6S4u/XBvjaGDPTcZyZwPPA\npIsp2nGc6cB0gHbaHCXVxIkT8OabNvB98okd1+D1wosvwrhx0KyZ2xWKiEhVOnXqFGlpaQFLOA8c\nOABAnTp16Nu3LzNnziQ1NZWUlBRatjzbr1ciIlXnvOHPGDPkx553HGcKMAIYfLYlmsaYDMdxsoEk\nIB3IAd4qfvoN7F4/gL1AW2CP4zi1gAbYg1/OVtMrFB8o4/F4tCxUXJOfDx9+aAPf4sWQmwvx8fCr\nX9kB7PHxblcoIiKVxRhDQUEBeXl55OXlceTIEb755ht/0Pv+++8pKioCoFOnTgwdOtR/KEv37t2p\nVUuHrIuIuyp62ucw4BHg6rL7/BzHiQN2Fy/fbI/d45dpjDGO47yLPenzY2AwsKH4ZYuBycBy7N7B\nj7XfT6ojY2DFChv45s+3oxqaNoW777b7+Pr108EtIiKVoaioyB+0qsvH2cTExJCSksKjjz6K1+sl\nJSWFpk2bXuaflojI+VX0n6BeBKKApcVHDK8wxvwEGAD8wnGcAuw4hxnGmJK9ez8HZjuO8wJwCJha\nfP1vxde3AkeBCRWsTaRSbd5cOoB9+3aIjoabb7aBb+hQiIhwu0IRkUt3Zlfrcn/k5uaWu1bSRasM\nkZGRREVF/ehHTEwMTZs2LXc9Ojr6nPcnJyeTmJhIuE7vEpEg4AR7c83j8Zi0tDS3y5AQdfCg7e7N\nmQPffGM7eoMH28B3yy1Qv77bFYqIlHfixAm2bdvG1q1b/X9u376drKysc4av/Px8Kut3gvDw8PMG\nrcv5ERkZqTl4IhLSHMdJN8Z4znefFp+LnCEnB955xwa+Dz+EoiLo1cue1DlhArRu7XaFIlLTGWM4\ndOiQP9ydGfQOHw48KLt58+Z07NiR1q1bV2qoOldHTF0wEZHqSeFPBBvwPv7YBr633oLsbGjbFh5+\n2B7ckpTkdoUiUtP4fD727NlzzoCXnZ3tv9dxHNq2bUt8fDy33HIL8fHxdOzY0f8RExPj4jsREZHq\nQuFPaixjYM0aG/jmzYN9+6BBA9vdmzgRrroKwsLcrlJEQll+fj6ZmZlnDXjbt28nPz/ff29ERARx\ncXHEx8dz1VVXBQS8uLg4oqKiXHwnIiISDBT+pMbZuRPmzrWhb8MGe1DLjTfawHfjjfYgFxGRynLq\n1KlyXbuSoLdr1y58Pp//3rp16xIfH0/Xrl0ZOXKkP+DFx8fTpk0bLacUEZEKUfiTGuHYMVi40Aa+\nzz+31wYMgJdfhrFjoXFjd+sTkeBljOHo0aPnDHj79+8PuL9JkybEx8dz5ZVXMmnSpICA17x5cx1M\nIiIiVUbhT0JWXh68/74NfO+9Zweyd+kCTz8Nt98OcXFuVygiwcLn87Fv375zBrysrKyA+1u3bk18\nfDzDhw/3B7uSJZoNGzZ06V2IiEhNp/AnIcXng6++soFvwQLIyoIWLWDGDLuss08fDWAXkbMrLCxk\n586d5wx4ubm5/nvDw8OJjY0lPj6elJSUgIDXoUMHateu7eI7EREROTuFPwkJGRk28L32mt3TV6cO\njB5tA9/gwVBLf9NFBDh9+jTbt28/a8DLzMwMGCpeu3ZtOnToQHx8PNdff31AwGvXrh0REREuvhMR\nEZGLp1+JJWjt2wevv25D36pV9mTOoUPhmWdg1CioV8/tCkXEDVlZWeW6diWf7927N+DeBg0aEB8f\nj8fjYfz48QHLM1u1akWYjvwVEZEQovAnQSU7GxYtsoFv2TK7zNPjgRdegPHjoWVLtysUkapmjOHA\ngQPnDHhHjhwJuL9ly5Z07NiRIUOGlNt/17hxYx2wIiIiNYbCn1R7hYWwdKkNfG+/DTk5EBsLjz1m\nB7AnJLhdoYhUNp/Px65du84Z8E6dOuW/NywsjHbt2tGxY0fGjBlTbv9dPS0DEBERART+pJoyBtLT\nYfZsu7Tz4EFo1AjuvNPu47vySh3cIhIKTp8+zebNm9m4cSMZGRls3LiRjRs3smnTpoADViIjI+nQ\noQMdO3bkmmuuCQh4sbGxREZGuvguREREgoPCn1QrO3bYQ1vmzIFNmyAqCkaOtB2+4cNBv9+JBKfD\nhw8HhLuSzzMzMzHGAOA4DnFxcSQkJDB48GC6dOlCp06d6NixI61bt9aAcxERkQpS+BPXHT1qxzLM\nmWPHNABcfTX8x3/AmDGgkVgiwaGoqIidO3eW6+JlZGQE7MOLjo6mS5cupKSkMHnyZBITE0lISKBT\np04akSAiIlKFFP7EFbm58M9/2sD3z39CQQF07QrPPmsHsLdr53aFInIuJUs1SwJeyZ+bN28OWKrZ\nrFkzEhISuPXWW0lISCAhIYHExETatWunUzRFRERcoPAnl43PB19+aQPfG2/YAewtW8IDD9h9fL16\naR+fSHVy6NChcss0MzIy2LlzZ7mlmomJiVx33XX+Ll5CQgJNmjRx+R2IiIhIWQp/UuU2bCgdwL5r\nF9StC7feagPftdeCtvGIuKdkqeaZXbyNGzcGLNWsXbs2Xbp0ITU1lalTp/q7eJ06dSI6OtrFdyAi\nIiIXSuFPqsSZA9jDw+0A9meftQPY69Z1u0KRmiUnJ6fcqZoZGRls3ryZvLw8/33Nmzf3L9Us28XT\nUk0REZHgp/AnleZcA9j/8Ac7gL1FC7crFAltxphznqpZdqlmWFiYf6nm9ddf7+/idenSRUs1RURE\nQpjCn1RIYaENenPm2OCnAewiVa+oqIjMzMxyXbyNGzdy9OhR/321a9cmISGB1NRUpk2b5g958fHx\nWqopIiJSAyn8yUUzxi7lnD0b5s0rHcA+aZL90AB2kcqRk5PDpk2bynXxzrZUMzExkbFjx/oDXkJC\nAm3bttVSTREREfFT+JMLlplZOoB940Y7cH3kSHtwyw032IHsInJxjDH+UzXPXK65c+dO/31hYWF0\n6NCBhIQEhg0bFrBUs3Hjxi6+AxEREQkWCn/yo44ds2MZZs+2YxoABg6Ef/93e2Jno0bu1icSLIqK\nitixY0e5Lt6ZSzXr1KlDQkIC/fv356677goYgB6lf2ERERGRClD4k3Ly8gIHsOfnQ2Ii/OY3dgB7\n+/ZuVyhSfZ06dSpgAHrZUzXz8/P997Vo0YKEhATGjRsXMAC9TZs2WqopIiIiVULhTwB7MudXX9kO\nX8kA9hYt4Kc/tcs6e/fWPj6RM2VlZfHNN9+wYsUKVq5cyfr168st1ezYsSMJCQnccMMNAaMTGqlt\nLiIiIpeZwl8Nl5FROoB95047f2/06NIB7LX0N0QEsMs2169fz4oVK/wfGRkZADiOQ7du3RgwYAB3\n3323P+TFx8drqaaIiIhUG/rVvgbav790AHt6OoSF2QHszzwDN9+sAewiAAcOHAgIet9++y2nTp0C\noGnTpqSmpjJx4kS8Xi8ej4f69eu7XLGIiIjIj1P4qyGys+Htt23gW7q0dAD7Cy/YAewtW7pdoYh7\n8vLyWLNmTUDYy8zMBKBWrVr07t2badOm4fV68Xq9xMXF4WgdtIiIiAQZhb8QVlgI//pX6QD2U6fs\nYS2PPmoHsCcmul2hyOVnjGHXrl0BQW/VqlX+w1jatm2L1+vlgQcewOv10rt3b2rXru1y1SIiIiIV\np/AXYkoGsM+ZYwewHzgADRvasFcygF0HCUpNcurUKdLS0gLC3v79+wGoXbs2Ho+HBx98EK/XS0pK\nCq1bt3a5YhEREZGqofAXIjIzYe5cG/oyMuwA9hEj7MEtw4drALvUDD6fj82bNwcEvbVr1+Lz+QDo\n3LkzQ4cO9S/fTEpKIiIiwuWqRURERC4Phb8gduwYLFxoxzN88YW9dtVV8MorMGaMBrBL6Dt69Kh/\n1ELJuIWsrCwAGjRoQEpKCqNGjcLr9dKvXz+aNGnicsUiIiIi7lH4CzJ5efD++7bD9957dgB7QoI9\nqfP22yE21u0KRapGYWEh69atC+jqbdq0CbDz9JKSkhg3bpy/q9elSxcNSxcREREpQ+EvCPh88PXX\ntsO3YEHpAPYZM+w+Pg1gl1C0b98+Vq5cGTBqIScnB4DmzZvj9XqZPHmyf9RCTEyMyxWLiIiIVG8K\nf9XYxo2lA9gzM6FOndIB7IMHawC7hI7c3FxWr14dsHxz586dAERERNCnTx/uuece/6EssbGxGrUg\nIiIicpEUH6qZAwfsAPbZs0sHsF93HTz1lB3AXq+e2xWKVIwxhszMzIDlm6tXr6agoACA9u3b4/V6\n+dnPfobX66VXr15ER0e7XLWIiIhI8FP4qwZOnQocwF5UBMnJ8D//AxMmaAC7BLeTJ0+WG7Vw8OBB\nAOrUqUPfvn2ZOXOmv6vXqlUrlysWERERCU0Kfy4pLISPP7aB7623Sgew//zndiZf165uVyhy8Xw+\nH5s2bQoIeuvWrfOPWujSpQs33HBDwKiFWlq/LCIiInJZ6Leuy8gYWL26dAD7/v3QoIE9pXPSJOjf\nXwPYJbgcOXLEfyjLypUrWblyJcePHwegYcOGeL1eRo8e7R+10EjzR0RERERco/B3GezcWTqAfcMG\niIgIHMCu7UwSDAoKCli7dm1AV2/Lli2AHbXQo0cPbrvtNn9Xr1OnThq1ICIiIlKNKPxVkawseOMN\nG/g+/9xeGzAAXn4Zxo6Fxo3drU/kfH744YeAoJeWlsbp06cBaNGiBampqdx11114vV6Sk5Opp9OI\nRERERKo1hb8q8POfwwsv2AHsXbrA00/bpZ1xcW5XJnJ2p0+fDhi1sGLFCnbv3g1AZGQkffr04d57\n7/V39dq1a6dRCyIi8v+3d7fBcZb3vcd/f0uWZMm2LD8IW7LWFmOMsYVt2atdaF1CgTgPJXgCNJik\nhIQzQwkkh56cFELzhnb6Ju2ZM+00nXaYJhlKM20yNJ2mndNzEiZn5uRFsZBsMA92iB30YBsZIduS\nLVmyHq7z4tpd7b27ekJa3yvt9zOzs7v33re4VrOD96frf11/AIsM4S8PbrxR+spXfFnn/v00YEdh\ncc7p9OnTam1tTQW9119/PdVqobGxUQcOHEgFvT179qi8vDzkUQMAAGC+CH958Pu/H/YIgEm9vb1q\nbYn1o5oAABdYSURBVG0N3C5cuCBJqqqqUiwW0ze+8Y1Uq4Ubbrgh5BEDAAAgH+YV/szszyV9RtI1\nSaclfdk5d8nMYpJeSJ4m6Xnn3L+Y2SpJv0j7EZsl/YNz7g/MrFzS30vaL6lP0kPOuY75jA8oNkND\nQzp69Ggq5B05ckQdHR2S/KYsTU1Nuv/++xWLxRSLxdTU1KSSkpJwBw0AAIDrYr4zfz+T9JxzbszM\nvi3pOUnPSnpLUjRxfJOkN8zs35xzlyXtTV5sZu2Sfpx4+l8kXXTObTOzw5K+LemheY4PWLLGx8f1\nzjvvBGb03nzzTY2Pj0uStmzZolgspqeeekrxeFz79u1TVVVVyKMGAABAWOYV/pxzP017+qqkBxPH\nh9KOV0hymdea2XZJtZqcCTwk6fnE45clfcfMzDmXdS1QbJxz6u7uDgS9trY2DQ4OSvI99WKxmJ57\n7jnF43G1tLRQvgkAAICAhVzz95ikHyafmFlc0vckbZH0iHNuLOP8w5J+mBbu6iV1S1JixrBf0jpJ\nHy7gGIFF4eLFi2prawuUb54/f16S332zublZjz32mGKxmOLxuLZt28bumwAAAJjWjOHPzF6RtDHH\nS99yzv1r4pxvSRqT9IPki865I5J2mdktkl40s/9wzg2nXX9Y0iMfZdBm9rikxyUpEol8lB8BFIyR\nkRG98cYbqZDX2tqqd999N/X6jh079IlPfCIV9Hbv3q2ysrIQRwwAAIDFaMbw55y7Z7rXzexLku6V\ndHeuEk3n3AkzuyKpSVJb4po9kkqdc+1pp56V1CDpjJmVSqqW3/gl15heUGJDmWg0SlkoFo2JiQn9\n6le/CgS99DYLGzduVDwe16OPPqp4PK5oNKrq6uqQRw0AAIClYL67fX5S0jOSPpa+zs/MGiV1J8o3\nt0jaIakj7dKHJf1jxo/7iaRHJf2n/NrBn7PeD4tdT09PIOi99tpr6u/vlyStXLlS0WhUX//611O7\nb9bX11O+CQAAgLyY75q/70gql/SzxBfWV51zT0g6IOmbZjYqaULSk8659LV7n5P06Yyf9V1JL5nZ\nKUkX5MtCgUXjypUram9vD4S97u5uSVJJSYl2796thx9+OBX0duzYQZsFAACwcC5fls6dk86e9bfe\nXqm8XKqs9Leqqunv+V6y5M13t89tUxx/SdJL01x3Y45jw5J+dz7jAa6X0dFRvf3226mQ19raqnfe\neUcTExOSpBtvvFEHDhxIBb3m5matWLEi5FEDAIBFaWxM6umZDHXpAS/98eXL8/vvJINiMgzOJjDO\n5dzycokKp1At5G6fwJLknFNHR0cg6B09elRXr16VJK1bt07xeFwPPvigYrGYWlpatH79+pBHDQAA\nCp5z0qVL2SEu8/n58/7cdKWlUl2dVF8vNTVJBw/6x/X1k8dra6XRUWlwUBoa8rfk45nu0x9fvuzH\nkH7O4KCU6C08a8uW5TdcMns5I8IfkKGvry/QT6+1tVUffuirlisqKrRv3z498cQTqVm9xsZG1ukB\nAICgkRHp/fenDnTJx4k/JgesWzcZ4vbuzQ519fXS+vU+TM3Ghg0L+96Srl2bfaic6Zyenuxzc/1u\nZlJenr9wWVUllZUt6tlLwh+K2tWrV3Xs2LFA0Dt9+rQkycy0c+dO3Xfffamg19TUpOXLl4c8agAA\nEJqJCamvL3egS3/+YY5W1eXlk+EtGpUOHQoGuro6f6uouP7v66MoK/O3NWvy8/MnJnwAnE+oTN4P\nDAQD5kedvYzHpVdfzc/7vQ4Ifyga4+PjOnnyZCDoHT9+XGNjY5KkzZs3Kx6P6/HHH1csFtP+/fu1\natWqkEcNAACum6GhmdfVnTvnSynTmfkSy/p6qaFBuu223LN1NTWLetboulu2zM+2VVXlf/ZytmGy\ntjY/47hOCH9Yss6cORMIem1tbbqcWAi9evVqxWIxPfPMM6l1enV1dSGPGAAA5MX4uF+zNt26unPn\n/Pq7TFVVk+Htt34rO9DV10sbN0pUBi1O+Z69LDCEPywJ/f39amtrC4S9c+fOSZKWL1+uvXv36otf\n/GKqfHP79u1aNts6eQAAUJic85uRzLSurqcnu7yvpMSHtvp66eabpd/+7WCgSwa81avDeW9AHhD+\nsOhcu3ZNx48fDwS9kydPyiV2wdq+fbvuuuuuVNDbs2ePKhZL7TwAAPBGRyc3TJluxm5wMPvaNWsm\nQ9zOnblLMGtr2RkSRYfwh4LmnNOpU6cCQe/YsWMaGRmRJNXW1ioej+vzn/+8YrGYotGo1q5dG/Ko\nAQDAtCYmfBlmZ6fU0TF5f+ZMsEF5ZnuDsrLJTVH27JE+/ensEsy6Or8zI4AshD8UlN7eXrW2tgZ6\n6l28eFGSVFlZqWg0qq997WupWb1IJEKbBQAACs34uJ+1Sw926fednb4VQrq1a/1mKfX10v79uUsw\n162bfXsDAFkIfwjN0NCQjh07Fgh67733niRp2bJlampq0gMPPKB4PK6Wlhbt2rVLpaV8ZAEACN3Y\nmJ+lSwa6zHDX1eXPSVdbK23Z4mfs7rtP2rrVP0/es8M2kHd8k8Z1kd5mIRn2jh8/rvHE4utIJKJY\nLKYnn3xSsVhM+/bt08qVK0MeNQAARWpkROruzj1r19HhyzIzN1DZtMkHuXhc+tznguEuEqEUEygA\nhD/kxdmzZwNBL1ebhWeffTY1q7dp06aQRwwAS9TY2GSPqvJyqbqaTS7gG2d3deUOdh0dvmQzfb3d\nsmW+7HLrVumOO7Jn7RoaFk9jcqCIEf4wbwMDA2pvb08FvSNHjgTaLOzZs0ePPPKI4vE4bRYAIJ1z\nwQbD0zUWns05uY7laka9Zo1fX7V2rW86nXycfss8XlPjwyMWhytXpp616+z0m62kKy31AW7rVung\nwexwt3kzfeyAJYDwhzkZHR3VW2+9FQh6J06cSLVZ2LZtm+68885U0Nu7dy9tFgAsXs5Jw8PzC18z\nnZNZOjeTkhLfdLqqypfRpT9ev37yWOZrlZW+lO/Chezbe+/5+4sX/S6MU6mqmn1YTL9VVfnQiYXT\n3z91sOvokPr6gueXlfkQt2WL9JnPBIPd1q1+QxVmhIElj/CHKTnn1NHREQh6R48e1fDwsCRp/fr1\nisVieuihhxSLxdTS0qJ169aFPGoARWViwgeofM2cDQ1lbzU/k7KyYPhK3q9a5RtK53otM6hN91pZ\nWX5+l5L/fQ4MTIbCixdzh8Xk8V/+0t/39fkZzKmUls4tMCaPr1lTnIHEOf97nS7c9fcHr1mxYjLM\ntbRkh7sbbmCXTAAyN9d/1ApMNBp1bW1tYQ9jSbhw4UKgn15ra6t6e3slSRUVFdq3b19qRi8Wi6mx\nsZE2CwDmbnhYunTJf3md7n5gYObQlvhj1JxUVMw+aM31tcpKH3SKjXN+DdlMYTHX8YGB6X/2bEpU\nc71WyCWqzkkffDB9WeaVK8FrVq3KDnTpj9evZ3YVKGJm1u6ci850XhH+CwVJGh4e1uuvv54KeUeO\nHNGpU6ckSWamW265Rffee28q6N16661aTq0/gOTM0EzBLXmf69h0M0SSn52orpZWr54MW1VVU8+a\nzSWoVVYy+5EPZpO/3/r6uV07Ouo/F7MNi52dk8+nK1GtrJzbmsbkbeXK+YeoiQmppyd3C4SODr/R\nytWrwWtqanyQu+km6Z57stfc1dQQ7gDMGzN/RWBiYkLvvvtuIOi98cYbGk1sAlBXVxeY0YtGo1q9\nenXIowaQF8PDswtoU91fvjxzGeSKFX62pro69/10r1VXL8yXbyx9ExP+8zib8tTM23QzxqWluYNh\nrmMVFb7XXa4ed5l/5NiwIXvmLv2ef3cBzMNsZ/4If0vQ+fPnA+v0XnvtNfUn1gasXLlSLS0tqaAX\nj8dVP9e/0gIIR/LL7lwDW/r9yMj0/43krNtsg1rmfXV1ftekAQthqhLVmUJk5jq7dBs35g52yR53\nVVXX570BKEqUfRaJwcFBtbe3B3rqdXV1SZJKSkp066236vDhw6mgt2PHDpUU4+J5oBDkmnWby/3A\nwNxn3daulW68cfYBjlk3FIMVK/ytrm5u142NBUtUr171Za6RCD3uACwKhL9FZHx8XG+//XYg6L31\n1luaSKx52Lp1q26//XY9/fTTisfjam5uVmVlZcijBpao8XHfBLmzc7LMq69v+nVvc511q66WGhtn\nDmzMugHXR2mp31hl/fqwRwIAHwnhr0A559Td3R0Ieu3t7RocHJQk1dTUKBaL6dChQ4rH42ppaVFt\nbW3IowaWkGvXpO7uyXCXvp6ns9Ov88lsnr1iRTCY1dT4kq/Zrntj1g0AAOQR4a9AXLp0SW1tbamg\n19raqp6eHklSWVmZmpub9dhjj6U2Ztm2bRttFoD5GBzMDnTpt/ffD5ZYmkmbNvl1PLfdNtksOXmL\nRHx4AwAAKFCEvxBcu3ZNx48fDwS9kydPpl6/+eab9fGPfzy1Tm/37t0qL+R+RUChSTZIzhXqkre+\nvuA1y5dLDQ0+yB08mB3uGhooqQQAAIsa4S/PnHM6ffp0IOgdO3ZMI4m1P7W1tYrH4/rCF76geDyu\naDSqmpqakEcNFLhkD61coS7ZQyuzQXJl5WSQa2nJDnebNklshgQAAJYwwl8e/OIXv9Arr7ySCnsX\nLlyQJFVWVmr//v366le/mirfjEQilG8CmUZH/Zq6XGvtOjv9WrzMHlqZDZLTt1vfskVat471dAAA\noKgR/vLg+9//vl588UXt2rVLn/3sZ1NBb9euXSot5VcOaGho+pLMc+f87F66jRt9iItGpQceyJ65\nW7UqnPcCAACwSNDkPQ96enq0cuVKrWTzBxQj53xrg+nCXW9v8JqSksn1drluDQ300AIAAJgCTd5D\ntHHjxrCHAOSPc9L581Ovt+vslC5fDl5TUTEZ5Jqbs8NdXZ3vnwUAAIC84dsWgKCxMens2anX23V1\nZTcrr672Ia6xUbrzzuz1dhs2sN4OAAAgZIQ/oNgMDvoNU7q6cs/enT0rjY8Hr6mt9SFu717p0KHs\nmbvq6nDeCwAAAGaN8AcsJaOjfrOUri4f8JIhL/1xYvfZlGXLpM2bfYi7447czctXrAjn/QAAAGDB\nEP6AxWJiwm+Ukh7oMoPd++/7NXnp1qzxG6ZEItJtt00+Tm6wUl/vG5wDAABgSSP8AYWivz93oEs+\nztXbrqJiMswdPBgMdskbLRAAAAAgwh9wfQwP+6bl04W7gYHgNSUlfhfMSERqaZHuvz8Y7CIRGpcD\nAABg1gh/wHyNj/tyy8xAlx7sPvgg+7oNG3yIu+km6a67grN2kYhvak77AwAAACwQvlkC03FO6uub\nevOU7u7cu2OuWjUZ4vbtyy7H3LyZTVQAAABwXRH+UNyuXAmuqcsV7q5eDV5TVubDWyQifexj2cEu\nEqH1AQAAAAoO4Q9L1+ion5WbamfM7m7p4sXgNWbSpk0+xO3ZI917b3aw27DBt0cAAAAAFhHCHxan\niQm/jm66fnY9PdltD9aunWxxcOBA9qwdbQ8AAACwRBH+UJj6+7Nn7NLD3Zkz2W0PKisnw9ynPpW7\n7UFVVTjvBwAAAAgZ4Q/X38hIdtuDrq7g48uXg9eUlvpZuVyNypOPa2poewAAAABMgfCHhTUxIZ0/\nnzvQJe/Pn8++rrbWh7jt26W77w62PGho8G0PSkqu//sBAAAAloh5hT8z+3NJn5F0TdJpSV92zl0y\ns5ikF5KnSXreOfcviWselvRHkpykc5J+zzn3oZmVS/p7Sfsl9Ul6yDnXMZ/xIQ+mK8fs6vIzeqOj\nwWuqqnyIi0T8JiqZwY62BwAAAEDemcvcEGMuF5sdlPRz59yYmX1bkpxzz5pZpaRrieObJL0hqS5x\n2TlJOxOB788kDTnnnjezJyXtds49YWaHJX3WOffQTGOIRqOura3tI78HpJmqHDP9fmAgeE16OWZm\nk/Lk4zVrKMcEAAAA8sTM2p1z0ZnOm9fMn3Pup2lPX5X0YOL4UNrxCvlZPsnPApqkKjPrk7Ra0qnE\na4ckPZ94/LKk75iZufmkU0zKLMfMtd4uVznmhg0+xN10E+WYAAAAwCK2kGv+HpP0w+QTM4tL+p6k\nLZIecc6NJY5/RdKbkgYl/UrSU4lL6iV1S1JixrBf0jpJHy7gGJeu/v7pN1CZrhwz2dOOckwAAABg\nyZox/JnZK5I25njpW865f02c8y1JY5J+kHzROXdE0i4zu0XSi2b2H5LGJX1FUrOkX0v6K0nPSfrT\nuQzazB6X9LgkRSKRuVy6OI2MTDYrn205ZkmJD2+RiHT77bnLMinHBAAAAIrGjOHPOXfPdK+b2Zck\n3Svp7lwlms65E2Z2RVKTfMmnnHOnE9f+SNI3E6eeldQg6YyZlUqqlt/4JdeYXlBiQ5loNLq4y0Jn\nKsfs7vbNyjNllmNmBjvKMQEAAACkme9un5+U9Iykj6Wv8zOzRkndifLNLZJ2SOqQVCZpp5ltcM71\nSvq4pBOJy34i6VFJ/ym/dvDnS2K9X65yzPSyzNmUY2ZuoEI5JgAAAIA5mu+av+9IKpf0M/Plg686\n556QdEDSN81sVNKEpCedcx9Kkpn9saT/l3itU9KXEj/ru5JeMrNTki5IOjzPsYXnT/5E+tGPpi/H\nbGigHBMAAADAdTPf3T63TXH8JUkvTfHa30r62xzHhyX97nzGUzBWrKAcEwAAAEBBWcjdPpH0h38Y\n9ggAAAAAIGBZ2AMAAAAAAOQf4Q8AAAAAigDhDwAAAACKAOEPAAAAAIoA4Q8AAAAAigDhDwAAAACK\nAOEPAAAAAIoA4Q8AAAAAigDhDwAAAACKAOEPAAAAAIoA4Q8AAAAAigDhDwAAAACKAOEPAAAAAIqA\nOefCHsO8mFmvpM6wx5HDekkfhj0IYBp8RlHo+Iyi0PEZRaHjM1o8tjjnNsx00qIPf4XKzNqcc9Gw\nxwFMhc8oCh2fURQ6PqModHxGkYmyTwAAAAAoAoQ/AAAAACgChL/8eSHsAQAz4DOKQsdnFIWOzygK\nHZ9RBLDmDwAAAACKADN/AAAAAFAECH95YGafNLNfmtkpM/tm2OMB0plZg5n9XzN7x8zeNrOnwx4T\nkIuZlZjZMTP797DHAmQyszVm9rKZnTSzE2Z2e9hjAtKZ2X9L/Dv/lpn9o5lVhD0mhI/wt8DMrETS\nX0v6lKSdkh42s53hjgoIGJP0351zOyXdJukpPqMoUE9LOhH2IIAp/KWk/+2c2yFpj/isooCYWb2k\n/yop6pxrklQi6XC4o0IhIPwtvJikU865Xzvnrkn6J0mHQh4TkOKce985dzTx+LL8F5b6cEcFBJnZ\nZkm/I+nvwh4LkMnMqiXdIem7kuScu+acuxTuqIAspZJWmFmppEpJ50IeDwoA4W/h1UvqTnt+Rnyx\nRoEys62SmiUdCXckQJa/kPSMpImwBwLk0CipV9L3E6XJf2dmVWEPCkhyzp2V9D8kdUl6X1K/c+6n\n4Y4KhYDwBxQpM1sp6Z8l/YFzbiDs8QBJZnavpA+cc+1hjwWYQqmkfZL+xjnXLGlQEmv8UTDMrEa+\n8qxRUp2kKjP7vXBHhUJA+Ft4ZyU1pD3fnDgGFAwzWy4f/H7gnPtx2OMBMvympPvMrEO+dP4uM/uH\ncIcEBJyRdMY5l6yaeFk+DAKF4h5J7znnep1zo5J+LOk3Qh4TCgDhb+G9JukmM2s0szL5xbU/CXlM\nQIqZmfw6lRPOuf8Z9niATM6555xzm51zW+X/H/pz5xx/sUbBcM71SOo2s5sTh+6W9E6IQwIydUm6\nzcwqE//u3y02JYJ82QIWkHNuzMy+Kun/yO+s9D3n3NshDwtI95uSHpH0ppm9njj2R865/xXimABg\nsfmapB8k/tD7a0lfDnk8QIpz7oiZvSzpqPwu38ckvRDuqFAIzDkX9hgAAAAAAHlG2ScAAAAAFAHC\nHwAAAAAUAcIfAAAAABQBwh8AAAAAFAHCHwAAAAAUAcIfAAAAABQBwh8AAAAAFAHCHwAAAAAUgf8P\nqEzg32PY00EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a5077c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,6))\n",
    "plt.plot(aicList,'r',label='aic value')\n",
    "plt.plot(bicList,'b',label='bic value')\n",
    "plt.plot(hqicList,'k',label='hqic value')\n",
    "plt.legend(loc=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe5a5038b70>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NvvTfHxxMn7R3qoiyoiv6h87tEL29lQn+3buT3e5aEyfKqi2JwVDuHntETn0j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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a00ba080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "delta = results_AR.fittedvalues  - temp[17:]  # 残差\n",
    "plt.figure(figsize=(10,6))\n",
    "\n",
    "plt.plot(delta,'r',label=' residual error')\n",
    "plt.legend(loc=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AC</th>\n",
       "      <th>Q</th>\n",
       "      <th>P-value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lag</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.0</th>\n",
       "      <td>-0.001225</td>\n",
       "      <td>0.000551</td>\n",
       "      <td>0.981277</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.0</th>\n",
       "      <td>-0.007836</td>\n",
       "      <td>0.023149</td>\n",
       "      <td>0.988492</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.0</th>\n",
       "      <td>-0.002310</td>\n",
       "      <td>0.025119</td>\n",
       "      <td>0.998949</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4.0</th>\n",
       "      <td>-0.007185</td>\n",
       "      <td>0.044223</td>\n",
       "      <td>0.999759</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5.0</th>\n",
       "      <td>-0.000229</td>\n",
       "      <td>0.044243</td>\n",
       "      <td>0.999978</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6.0</th>\n",
       "      <td>-0.001313</td>\n",
       "      <td>0.044884</td>\n",
       "      <td>0.999998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7.0</th>\n",
       "      <td>-0.005752</td>\n",
       "      <td>0.057229</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8.0</th>\n",
       "      <td>-0.005667</td>\n",
       "      <td>0.069248</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9.0</th>\n",
       "      <td>-0.011054</td>\n",
       "      <td>0.115102</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10.0</th>\n",
       "      <td>0.004700</td>\n",
       "      <td>0.123416</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AC         Q   P-value\n",
       "lag                               \n",
       "1.0  -0.001225  0.000551  0.981277\n",
       "2.0  -0.007836  0.023149  0.988492\n",
       "3.0  -0.002310  0.025119  0.998949\n",
       "4.0  -0.007185  0.044223  0.999759\n",
       "5.0  -0.000229  0.044243  0.999978\n",
       "6.0  -0.001313  0.044884  0.999998\n",
       "7.0  -0.005752  0.057229  1.000000\n",
       "8.0  -0.005667  0.069248  1.000000\n",
       "9.0  -0.011054  0.115102  1.000000\n",
       "10.0  0.004700  0.123416  1.000000"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "acf,q,p = sm.tsa.acf(delta,nlags=10,qstat=True)  ## 计算自相关系数 及p-value\n",
    "out = np.c_[range(1,11), acf[1:], q, p]\n",
    "output=pd.DataFrame(out, columns=['lag', \"AC\", \"Q\", \"P-value\"])\n",
    "output = output.set_index('lag')\n",
    "output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0405231650285\n"
     ]
    }
   ],
   "source": [
    "score = 1 - delta.var()/temp[17:].var()\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "        -2.43389681e-03,  -1.32510439e-03,   5.44998951e-04,\n",
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       "         1.36796038e-03,   2.50776768e-03,   1.15759069e-03,\n",
       "         1.07434864e-04,   2.03903476e-04,  -4.39860965e-03,\n",
       "        -9.64573500e-04,   7.16403530e-04,  -7.89038758e-04,\n",
       "         4.34214377e-04,   2.09324419e-04,  -7.24908685e-04,\n",
       "         6.22736493e-04,  -8.99060081e-04,   6.62955133e-04,\n",
       "         1.93137999e-04,  -2.43250694e-03,   1.08465542e-03,\n",
       "        -6.34860685e-04,  -2.73682289e-03,   8.86601104e-04,\n",
       "        -1.24976994e-03,  -1.59348580e-03,   1.68093294e-03,\n",
       "         1.33744335e-03,  -9.24016235e-04,   9.08602605e-04,\n",
       "        -1.61853175e-03,  -1.55904243e-03,  -1.89368764e-03,\n",
       "        -2.61156048e-05,   3.13914829e-04,   1.00310100e-03,\n",
       "        -1.10872704e-03,  -1.25601239e-04,  -1.35174939e-03,\n",
       "         7.09338986e-04,   1.05071049e-03,  -8.77925791e-05,\n",
       "        -3.84510387e-04,   3.84573854e-04,  -2.58263749e-03])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train = temp[:-10]\n",
    "test = temp[-10:]\n",
    "output = sm.tsa.AR(train).fit()  \n",
    "output.predict()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>original</th>\n",
       "      <th>predict</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.002228</td>\n",
       "      <td>0.000909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.010223</td>\n",
       "      <td>-0.001472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.001449</td>\n",
       "      <td>-0.002108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.012785</td>\n",
       "      <td>-0.002158</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.010238</td>\n",
       "      <td>-0.000218</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0.024139</td>\n",
       "      <td>0.000115</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0.002408</td>\n",
       "      <td>0.001476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>-0.000893</td>\n",
       "      <td>-0.000119</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0.009315</td>\n",
       "      <td>-0.000520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>-0.007385</td>\n",
       "      <td>-0.000161</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   original   predict\n",
       "0 -0.002228  0.000909\n",
       "1  0.010223 -0.001472\n",
       "2  0.001449 -0.002108\n",
       "3  0.012785 -0.002158\n",
       "4  0.010238 -0.000218\n",
       "5  0.024139  0.000115\n",
       "6  0.002408  0.001476\n",
       "7 -0.000893 -0.000119\n",
       "8  0.009315 -0.000520\n",
       "9 -0.007385 -0.000161"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predicts = output.predict(355, 364, dynamic=True)\n",
    "print(len(predicts))\n",
    "comp = pd.DataFrame()\n",
    "comp['original'] = temp[-10:]\n",
    "comp['predict'] = predicts\n",
    "comp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe5a55aa240>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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03sOykhV/n0yrWm0KLp1JK/YUsA+TtDqux9fKOItd1CawEmH4rDEX2C7vNlPr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a505dfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.array(IndexData['CHGPct']) # 上证指数日涨跌\n",
    "IndexData['CHGPct'].plot(figsize=(15,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SHt53KjFA7dvx/GntOjKmlQuGNFG1Gj031RLUtLYZ22z+dun89blk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\nyHZTN+5h7SxzJgPh/Z6p6ZLnml/EdaOfH0pcCGZ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AAAAAAADQgqIRAAAAAAAAWlA0AgAA\nAAAAQIv/A555QR8M0nM5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5986895c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,5))\n",
    "ax1=fig.add_subplot(111)\n",
    "fig = sm.graphics.tsa.plot_acf(data,ax=ax1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "order = (0,10)\n",
    "train = data[:-10]\n",
    "test = data[-10:]\n",
    "tempModel = sm.tsa.ARMA(train,order).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0278739998881\n"
     ]
    }
   ],
   "source": [
    "delta = tempModel.fittedvalues - train\n",
    "score = 1 - delta.var()/train.var()\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe5a50f5470>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OVfPx7mxuHB9DeEDbhdvmDIvg+rExvLo+g/2nztopQvt4dX06NfWN/Gp29x6j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\nIYSwiCQMIYQQFpGEIYQQwiL/D4B5h9lpag8MAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a515e9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicts = tempModel.predict(371, 380, dynamic=True)\n",
    "print(len(predicts))\n",
    "comp = pd.DataFrame()\n",
    "comp['original'] = test\n",
    "comp['predict'] = predicts\n",
    "comp.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BL0ry4sEOrbUnTd+uqncl+ZAwCAAAAGA8LRgItdb2V9VrknwkyUSSq1prN1bVq/rzrzzC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\nAEDP/H9xSmqTxwzJVgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a5134470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.array(IndexData['CHGPct']) # 上证指数日涨跌\n",
    "\n",
    "fig = plt.figure(figsize=(20,10))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(data,lags=30,ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(data,lags=30,ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:473: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n",
      "  'available', HessianInversionWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:628: RuntimeWarning: overflow encountered in exp\n",
      "  newparams = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:628: RuntimeWarning: invalid value encountered in true_divide\n",
      "  newparams = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:629: RuntimeWarning: overflow encountered in exp\n",
      "  tmp = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:629: RuntimeWarning: invalid value encountered in true_divide\n",
      "  tmp = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:584: RuntimeWarning: overflow encountered in exp\n",
      "  newparams = ((1-np.exp(-params))/\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:585: RuntimeWarning: overflow encountered in exp\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:585: RuntimeWarning: invalid value encountered in true_divide\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:586: RuntimeWarning: overflow encountered in exp\n",
      "  tmp = ((1-np.exp(-params))/\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:587: RuntimeWarning: overflow encountered in exp\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:587: RuntimeWarning: invalid value encountered in true_divide\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:652: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  tmp[kiter] = (macoefs[kiter]-b *macoefs[j-kiter-1])/(1-b**2)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:654: RuntimeWarning: divide by zero encountered in log\n",
      "  invmacoefs = -np.log((1-macoefs)/(1+macoefs))\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tools/numdiff.py:243: RuntimeWarning: invalid value encountered in subtract\n",
      "  **kwargs)).imag/2./hess[i, j]\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tools/numdiff.py:243: RuntimeWarning: invalid value encountered in multiply\n",
      "  **kwargs)).imag/2./hess[i, j]\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:628: RuntimeWarning: invalid value encountered in exp\n",
      "  newparams = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:629: RuntimeWarning: invalid value encountered in exp\n",
      "  tmp = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AIC (3, 3)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BIC (0, 0)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "HQIC (0, 0)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "print(\"AIC\", sm.tsa.arma_order_select_ic(data,max_ar=6,max_ma=4,ic='aic')['aic_min_order'])  # AIC\n",
    "print(\"BIC\", sm.tsa.arma_order_select_ic(data,max_ar=6,max_ma=4,ic='bic')['bic_min_order'])  # BIC\n",
    "print(\"HQIC\", sm.tsa.arma_order_select_ic(data,max_ar=6,max_ma=4,ic='hqic')['hqic_min_order']) # HQIC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    }
   ],
   "source": [
    "order = (3,2)\n",
    "train = data[:-10]\n",
    "test = data[-10:]\n",
    "tempModel = sm.tsa.ARMA(train,order).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0055187509265\n"
     ]
    }
   ],
   "source": [
    "delta = tempModel.fittedvalues - train\n",
    "score = 1 - delta.var()/train.var()\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe5984f9c18>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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bIzVhuEnBqTLe35TLzSkJxLS5cOG2iX07cuOQBGYuy2bbwRNeitA7Zi7Loryq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\naMJQSinlkv8HEzNjNC7UQxUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a521c908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicts = tempModel.predict(371, 380, dynamic=True)\n",
    "print(len(predicts))\n",
    "comp = pd.DataFrame()\n",
    "comp['original'] = test\n",
    "comp['predict'] = predicts\n",
    "comp.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe598433c88>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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lVzIJABsqbFPKMp883otfvdaOxw73TLh9JBCGI4vgEQBsRi28oSji8cyGtpwP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\nWSghzoBBp0jmbpLCwV1avyl44SERb1d1smGco88Ha7a7cbr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MZ+G+usHBHcD7NhRwtMnB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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe598707198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data2 = IndexData['closeIndex'] # 上证指数\n",
    "data2.plot(figsize=(15,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Test Statistic Value</th>\n",
       "      <td>-2.30472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>p-value</th>\n",
       "      <td>0.170449</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Lags Used</th>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Number of Observations Used</th>\n",
       "      <td>379</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Critical Value(1%)</th>\n",
       "      <td>-3.44772</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Critical Value(5%)</th>\n",
       "      <td>-2.8692</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Critical Value(10%)</th>\n",
       "      <td>-2.57085</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                value\n",
       "Test Statistic Value         -2.30472\n",
       "p-value                      0.170449\n",
       "Lags Used                           1\n",
       "Number of Observations Used       379\n",
       "Critical Value(1%)           -3.44772\n",
       "Critical Value(5%)            -2.8692\n",
       "Critical Value(10%)          -2.57085"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temp = np.array(data2)\n",
    "t = sm.tsa.stattools.adfuller(temp)  # ADF检验\n",
    "output=pd.DataFrame(index=['Test Statistic Value', \"p-value\", \"Lags Used\", \"Number of Observations Used\",\"Critical Value(1%)\",\"Critical Value(5%)\",\"Critical Value(10%)\"],columns=['value'])\n",
    "output['value']['Test Statistic Value'] = t[0]\n",
    "output['value']['p-value'] = t[1]\n",
    "output['value']['Lags Used'] = t[2]\n",
    "output['value']['Number of Observations Used'] = t[3]\n",
    "output['value']['Critical Value(1%)'] = t[4]['1%']\n",
    "output['value']['Critical Value(5%)'] = t[4]['5%']\n",
    "output['value']['Critical Value(10%)'] = t[4]['10%']\n",
    "output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe598491208>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Mngvg/2aMvQLA1wD4cUVRXhH+228xxl4d/vehXD+URij0mNtGlTbHY5mrgbbr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\n8vZuqcDQFDx5cgUrnjVIjhd5VwGSpyjKg4qiHFIU5aiiKL+Q5j2y7s9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nhc5/y3IGom+0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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe59834e518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data2Diff = data2.diff()  # 差分\n",
    "data2Diff.plot(figsize=(15,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p-value:    2.31245750144e-30\n"
     ]
    }
   ],
   "source": [
    "temp = np.array(data2Diff)[1:] # 差分后第一个值为NaN,舍去\n",
    "t = sm.tsa.stattools.adfuller(temp)  # ADF检验\n",
    "print(\"p-value:   \",t[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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BxUOQDPD4zQS4Tz3lxJyxcvmoyzmqBEIAMAZcYgAcKkEyAI+HQOgYccJxS/K0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\nhAAAAAB65v8DOBs8mR2H8+kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5982de048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "temp = np.array(data2Diff)[1:] # 差分后第一个值为NaN,舍去\n",
    "fig = plt.figure(figsize=(20,10))\n",
    "ax1=fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(temp,lags=30,ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(temp,lags=30,ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:473: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n",
      "  'available', HessianInversionWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:628: RuntimeWarning: overflow encountered in exp\n",
      "  newparams = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:628: RuntimeWarning: invalid value encountered in true_divide\n",
      "  newparams = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:629: RuntimeWarning: overflow encountered in exp\n",
      "  tmp = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:629: RuntimeWarning: invalid value encountered in true_divide\n",
      "  tmp = ((1-np.exp(-params))/(1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:584: RuntimeWarning: overflow encountered in exp\n",
      "  newparams = ((1-np.exp(-params))/\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:585: RuntimeWarning: overflow encountered in exp\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:585: RuntimeWarning: invalid value encountered in true_divide\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:586: RuntimeWarning: overflow encountered in exp\n",
      "  tmp = ((1-np.exp(-params))/\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:587: RuntimeWarning: overflow encountered in exp\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/tsa/tsatools.py:587: RuntimeWarning: invalid value encountered in true_divide\n",
      "  (1+np.exp(-params))).copy()\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n",
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:496: ConvergenceWarning: Maximum Likelihood optimization failed to converge. Check mle_retvals\n",
      "  \"Check mle_retvals\", ConvergenceWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(2, 2)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.tsa.arma_order_select_ic(temp,max_ar=6,max_ma=4,ic='aic')['aic_min_order']  # AIC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/liubola/anaconda3/lib/python3.6/site-packages/statsmodels/base/model.py:473: HessianInversionWarning: Inverting hessian failed, no bse or cov_params available\n",
      "  'available', HessianInversionWarning)\n"
     ]
    }
   ],
   "source": [
    "order = (2,2)\n",
    "data = np.array(data2Diff)[1:] # 差分后，第一个值为NaN\n",
    "rawdata = np.array(data2)\n",
    "train = data[:-10]\n",
    "test = data[-10:]\n",
    "model = sm.tsa.ARMA(train,order).fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe5a50906a0>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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phs52TUaLg9w4dM0yZgWWLVuGwcFBjIyMNHsoRw0SiQSWLVtW8+uZ5EUFS7VrhrSzSot3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\n/BbbWh0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a51920f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,5))\n",
    "plt.plot(model.fittedvalues,label='fitted value')\n",
    "plt.plot(train[1:],label='real value')\n",
    "plt.legend(loc=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0397490021589\n"
     ]
    }
   ],
   "source": [
    "delta = model.fittedvalues - train\n",
    "score = 1 - delta.var()/train[1:].var()\n",
    "print(score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fe5a50473c8>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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LKz/ZyIe7SvnhuAQignwNi+ObqmfZMsoWAuycsLXWa7XW89q/r9Jaz9RaD9Zaz9Jay555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\nNEA07BBCCKEBomGHEEIIDfA3tcH35CTCGHwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe5a50676d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "predicts = model.predict(10,381, dynamic=True)[-10:]\n",
    "print(len(predicts))\n",
    "comp = pd.DataFrame()\n",
    "comp['original'] = test\n",
    "comp['predict'] = predicts\n",
    "comp.plot(figsize=(8,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7fe59817d630>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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99xDCRESqAnVBikhSu/lmyM2Fl16CXXaJuhoRkYqhFjARSVpz5sAtt0D//nDE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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fe598366198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rec = [rawdata[-11]]\n",
    "pre = model.predict(371, 380, dynamic=True) # 差分序列的预测\n",
    "for i in range(10):\n",
    "    rec.append(rec[i]+pre[i])\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.plot(rec[-10:],'r',label='predict value')\n",
    "plt.plot(rawdata[-10:],'blue',label='real value')    \n",
    "plt.legend(loc=0)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
